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Area of a Circle Answers

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Min knows that . What would she need to do to find the area?

Question illustration
A
She could multiply 9.42 by 2.
B
She could multiply 9.42 by .
Option B
C
She could divide 9.42 by 2 to find the radius, then square the radius.
D
She could divide 9.42 by to find the radius, then multiply 9.42 by the radius.
Option D
2
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Morgan has completed the mathematical statements shown below. Which statements are true regarding these formulas? Select three options.

Question illustration
A
The numerical values of the area and circumference are equal when .
Option A
B
The numerical value of the area is less than the numerical value of the circumference when .
Option B
C
The numerical value of the area is greater than the numerical value of the circumference when .
Option C
D
The numerical value of the area is less than the numerical value of the circumference when .
Option D
E
The numerical value of the area is greater than the numerical value of the circumference when .
Option E
3

A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for and round to the nearest whole number.)

Question illustration
A
31 inches squared
Option A
B
69 inches squared
Option B
C
106 inches squared
Option C
D
125 inches squared
Option D
4

Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2 feet wide. What is the total area of the garden and path? (Use 3.14 for and round to the nearest tenth.)

Question illustration
A
50.2 feet squared
Option A
B
78.5 feet squared
Option B
C
113.0 feet squared
Option C
D
210.0 feet squared
Option D
5

Ian needs to find the area of the shaded region shown below. Which statements can he use to find the answer? Select three options.

Question illustration
A
The radius is 5.5 feet.
B
The area of the whole circle is .
Option B
C
The area of the whole circle is .
Option C
D
The area of the shaded region can be found by multiplying the area of the whole circle by three-fourths as in .
Option D
E
The area of the shaded region can be found by multiplying the area of the whole circle by two-thirds as in .
Option E
6

The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

Question illustration
A
64
B
79
C
201
D
804
7

What is the height of the shape formed by the sectors shown below?

Question illustration
A
r
Option A
B
d
Option B
C
pi times r
Option C
D
Pi times d
Option D
8

A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring?

Question illustration
A
1 pi inches squared
Option A
B
3 pi inches squared
Option B
C
5 pi inches squared
Option C
D
12 pi inches squared
Option D
9

A circle has a circumference of cm. Which statement about the circumference and area is true?

Question illustration
A
A comparison of the area and circumference is not possible since the area cannot be determined.
B
The numerical values of the circumference and area of the circle are equal.
C
The numerical value of the circumference is greater than the numerical value of the area.
D
The numerical value of the circumference is less than the numerical value of the area.
10

Elspeth knows that . What would she need to do to find the circumference?

Question illustration
A
She could multiply 9.42 by 2.
B
She could multiply 9.42 by .
Option B
C
She could divide 9.42 by 2 to find the radius, and then square the radius.
D
She could divide 9.42 by to find the radius, and then multiply 9.42 by the radius.
Option D

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