course phy 121
Question: `q001. There are 11 questions and 7 summary questions in this assignment. What is the area of a rectangle whose dimensions are 4 m by 3 meters.
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Your solution:
4*3=12m^2
confidence rating #$&*ok
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Self-critique (if necessary):ok
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Question: `q002. What is the area of a right triangle whose legs are 4.0 meters and 3.0 meters?
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Your solution:
1/2 * 12 m^2 = 6.0 m^2.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q003. What is the area of a parallelogram whose base is 5.0 meters and whose altitude is 2.0 meters?
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Your solution:
5.0 * 2.0 m= 10 m^2.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q004. What is the area of a triangle whose base is 5.0 cm and whose altitude is 2.0 cm?
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Your solution:
1/2 * 5.0 * 2.0
= 1/2 * 10 cm^2
= 5.0 cm^2.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q005. What is the area of a trapezoid with a width of 4.0 km and average altitude of 5.0 km?
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Your solution:
(4 km) * (5 km) = 20 km^2.
confidence rating #$&* ok
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Self-critique (if necessary):ok
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Question: `q006. What is the area of a trapezoid whose width is 4 cm in whose altitudes are 3.0 cm and 8.0 cm?
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Your solution:
A = 4 cm * 5.5 cm = 22 cm^2
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q007. What is the area of a circle whose radius is 3.00 cm?
Your solution
pi * (3 cm)^2 = 9 pi cm^2.
confidence rating #$&*
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Self-critique (if necessary): ok
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Question: `q008. What is the circumference of a circle whose radius is exactly 3 cm?
Your solution
C = 2 pi r = 2 pi * 3 cm = 6 pi cm
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q009. What is the area of a circle whose diameter is exactly 12 meters?
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Your solution:
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A = pi ( 6 m )^2 = 36 pi m^2.
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Self-critique (if necessary): ok
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Question: `q010. What is the area of a circle whose circumference is 14 `pi meters?
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Your solution:
r = 14 pi m / (2 pi) = (14/2) * (pi/pi) m = 7 * 1 m = 7 m.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q011. What is the radius of circle whose area is 78 square meters?
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Your solution:
r = sqrt( 78 m^2 / pi) = sqrt(78 / pi) m.{}
Approximating this quantity to 2 significant figures we obtain r = 5.0 m.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q012. Summary Question 1: How do we visualize the area of a rectangle?
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Your solution:
We visualize the rectangle being covered by rows of 1-unit squares. We multiply the number of squares in a row by the number of rows. So the area is A = L * W.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q013. Summary Question 2: How do we visualize the area of a right triangle?
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Your solution:
We visualize two identical right triangles being joined along their common hypotenuse to form a rectangle whose length is equal to the base of the triangle and whose width is equal to the altitude of the triangle. The area of the rectangle is b * h, so the area of each triangle is 1/2 * b * Confidence Assessment: ok
Self-critique (if necessary): ok
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Question: `q014. Summary Question 3: How do we calculate the area of a parallelogram?
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Your solution:
The area of a parallelogram is equal to the product of its base and its altitude. The altitude is measured perpendicular to the base
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q015. Summary Question 4: How do we calculate the area of a trapezoid?
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Your solution:
We think of the trapezoid being oriented so that its two parallel sides are vertical, and we multiply the average altitude by the width.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q016. Summary Question 5: How do we calculate the area of a circle?
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Your solution:
We use the formula A = pi r^2, where r is the radius of the circle.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q017. Summary Question 6: How do we calculate the circumference of a circle? How can we easily avoid confusing this formula with that for the area of the circle?
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Your solution:
We use the formula C = 2 pi r. The formula for the area involves r^2, which will give us squared units of the radius. Circumference is not measured in squared units.
confidence rating #$&* ok
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Self-critique (if necessary): ok
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Question: `q018. Explain how you have organized your knowledge of the principles illustrated by the exercises in this assignment.
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Self-critique (if necessary):
These exercises were refreshers.
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Self-critique rating #$&*
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&#Good responses. Let me know if you have questions. &#
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