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This printable supports Common Core Mathematics Standard 7.G.B.4

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# Area of Circles - Complex and Inscribed Figures (Grade 7)

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## Area of Circles - Complex and Inscribed Figures

1.
What is the area of the circle if BC = 6?
1. $6pi$
2. $9pi$
3. $24pi$
4. $36pi$

2.
The length of a line drawn A to C is 8. What is the area of the circle?
1. $4pi$
2. $8pi$
3. $16pi$
4. $64pi$
3.
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5. What is the area of the semicircle?
1. $2pi$
2. $4pi$
3. $5pi$
4. $16pi$

4.
If the area of the square is 100, which statement about the circle is true?
1. It has an area of $5pi$
2. It has a radius of 10
3. It has a diameter of 5
4. It has a circumference of $10pi$
5.
If the circle has an area of $49pi$, which statement about the square is true?
1. BA = 7
2. BD = 7
3. AD = 14
4. AC = 14

6.
The area of the semicircle is $18pi$. The length of side AB = 8. Which statement about rectangle ABCD is true?
1. Its area is 48
2. Its area is 144
3. Its perimeter is 40
4. Its perimeter is 96
7.
The area of the square is 25. The area of the circle is 39. What is the area of the shaded regions?
1. 14
2. 56
3. 64
4. not enough information to determine

8.
The area of the circle is $64pi$. Which expression should be used to find the area of the shaded regions?
1. $64 - 8pi$
2. $8pi - 64$
3. $256-64pi$
4. $64pi-256$
9.
Given the area of the semicircle, which of the following can be calculated?
1. The length of CD
2. The length of AD
3. The length of BA
4. The area of the entire figure.

10.
Given the circumference of the circle is $6pi$, what is the area of the square?
1. 3
2. 9
3. 36
4. 81
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