AnswersIntegrated Math II FullArea of a Circle

Area of a Circle Answers

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1
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Geoffrey needs to find the circumference of a circle. Which process should he use?

A
He should multiply the diameter times 2 and then multiply the result by 3.14.
B
He should multiply the radius times 2 and then multiply the result by 3.14.
C
He should square the diameter and then multiply the result by 3.14.
D
He should square the radius and then multiply the result by 3.14.
2
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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.
3

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
4

What is the area of a circle with a radius of 1 foot?

A
One-fourth pi feet squared
Option A
B
One-half pi feet squared
Option B
C
Pi feet squared
Option C
D
2 pi feet squared
Option D
5

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
6

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
7

The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for and round to the nearest tenth.)

Question illustration
A
31.4 meters squared
Option A
B
62.8 meters squared
Option B
C
78.5 meters squared
Option C
D
125.6 meters squared
Option D
8

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
9

Sarah only knows the diameter of a circle. What should she do to find the radius?

A
Multiply the diameter by 2.
B
Divide the diameter by 2.
C
Multiply the diameter by .
Option C
D
Divide the diameter by .
Option D
10

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

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