SUMMATIVE TESTUnit 9 – Circumference and Area of a Circle

Multiple Choice:

Choose your answers from the choices below.

1. Which of the following objects has the largest circumference?A. wheel of a carB. lid of a cupC. frying panD. basketball

2. The formula for the circumference of a circle is/are:_______.I. C = π×dII. C = 2×π×dIII. C = 2×π×r

A. I onlyB. I and IIC. I and IIID. II and III

3. The area of a 10 peso coin is about ________.A. 1 cm2

B. 5 cm2

C. 10 cm2

D. 20 cm2

4. Which of the following formula will not yield the area of a circle?

A.12

C × r

B.12(2 πr)

C. π× r2

D. 2×π×r2

5. Which is TRUE about measuring the circumference of a circular object?A. Use stretchable string to measure circumference. B. Use a tape to get the circumference of small objects.C. Put the tape measure on top of the object to measure its circumference. D. Use a string and meter stick to measure the circumference of big objects.

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6. How do we compute for the circumference of a circle?A. Multiply π by the radius and divide the product by 2.B. Multiply π by the radius and multiply the product by 2.C. Multiply π by the diameter and divide the product by 2.D. Multiply π by the diameter and multiply the product by 2.

7. A circle with a diameter of 12 cm has a circumference of _______. (Use π -3.14)A. 452.16 cmB. 113.04 cmC. 75.36 cmD. 37.68 cm

8. How do we get the radius of the circle given its area?

A. Multiply the area by π and get the square root of the quotient.B. Divide the area by π and get the square root of the quotient.C. Multiply the area by π and get the square of the quotient.D. Divide the area by π and get the square of the quotient.

9. What is the area of the circle below in terms of π?A. 37.68 m2

B. 75.36 m2

C. 113.04 m2

D. 452.16 m2

10. A jar has a circumference of 62.8 cm. What is the area of the cap that can fit the lid of the jar? (put this inside the box.)

A. Divide the circumference of the circle by 2π to get the radius.B. Divide the circumference of the circle by π to get the radius.C. Multiply the circumference of the circle by 2π to get the radius.D. Multiply the circumference of the circle by π to get the radius.

Refer to this problem for item 11.

Anna bought a 15 cm by 20 cm piece of cloth for P150. She cut 4 circles from it to make logo patches. The radius of each circle is 2 cm.

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12 cm

1. Which of the following information on the problem will help you get the area of all the logos?

I. 15 cm by 20 cm piece of clothII. P150III. 4 circlesIV. 2 cm radius of a circle

A. I and IIB. II and IIIC. III and IVD. IV and I

12. All the statements are INCORRECT about the circumference of a circle except ____.A. The value of π changes depending on the size of the circles. B. Twice the radius times the π results to the circumference of a circle. C. The product of the radius and π gives results to the circumference of the circle. D. The Greek letter π represents the quotient of diameter over the circumference of the

circle.

13. Gina cut out a semi-circle as shown below. What is the length of the string she needed to use to surround the semi-circle with it?

A. 5.14 mB. 6.28 mC. 12. 56 mD. 25.12 m

14. The radius of a wheel is 50 cm. What is the distance travelled if the wheel turns 5 times? Express the answer to the nearest meter.

A. 8 mB. 16 mC. 100 mD. 125 m

15. All the four circles below are identical to each other. The diameter of a circle measures 10 m. What is the distance around the unshaded figure as shown below in terms of π?

A. 5π mB. 10π mC. 25π mD. 40π m

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2 m

10 m

16. Which of the following statement is true about radius and diameter?

A. Twice the radius is the diameter.B. Twice the diameter is the radius.C. Half of the radius is the diameter.D. Half of the diameter is twice the radius.

17. Find the area of the shaded region on the given figure below. Express your answer in terms of π.

A. 40π m2

B. 100π m2

C. 140π m2

D. 144π m2

Refer to this problem for items 18 to 19

A field is made up of a rectangle with semicircle at the two ends. What is the area of the field as shown below?

18. What will you do to get the area of the field?

A. Add the area of the rectangle and a semicircle.B. Add the area of the rectangle and two semicircles.C. Subtract the area of a semicircle from the area of rectangle.D. Subtract the area of two semicircles from the area of rectangle.

19. The area of the field is______________.

A. 14826 m2

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2 m10 m

B. 13413 m2

C. 10587 m2

D. 9174 m2

Refer to this problem for item 20.

The diameter of a circular fountain in a park is 15 m. A sidewalk that is 1.5 m will be built around the fountain.

20. Which of the questions is the most challenging but possible to answer?

A. What is the area of the park?B. What is the area of the fountain?C. What is the area of the sidewalk?D. What is the area of the fountain and the sidewalk?

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