Percy L Julian High School 10330 S Elizabeth

Percy L. Julian High School 10330 S Elizabeth Ave. , Chicago, IL 60643 GEOMETRY BY MOHAN ABRAHAM

SEM 2 , QUICK QUIZ , WEEK 2 -1 • EXTRA TIME

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Objectives • SWBAT with at least 80 % accuracy. • Compute the area and circumference of circles after identifying necessary information. (MEA 24 -27)

SEM 2 , QUICK QUIZ , WEEK 2 -1 REVIEW

1. The radius of a circle is 48 feet. What is the circumference of the circle to the nearest feet ? Circumference C = 2 π r (π = 3. 14) 2. The diameter of a circle is 14 inches. What is the area of the circle to the square inch ? Area of the circle A = π r 2 3. The diameter of a circle is 15 units long. What is the circumference of the circle in π? C =πd 4. A circle has a radius of 9+2 x. What expression is equivalent to the area of the circle ? A. 2 π (9+2 x) B. 9 + 2 x C. π(9+2 x) 2 D. 2(9+2 x) E. 81 x 2 π

Exploring Circles – Parts of a Circle ra di us A circle is a plane figure with all points the same distance from the center. It is named by the center. C • The radius of a circle is the distance from the center of a circle to any point on the circle. • The distance around a circle is called the circumference. • The distance across a circle through the center is called the diameter.

Some useful formulas: If C = circumference, 1. The diameter of a quarter is 8 centimeters. a) r = radius, and What is the radius? d = diameter, then d = 2 r or r = d/2 C = πd = 2πr b)What is the circumference ? A = πr 2 c. What is the area ?

2) The diameter of a quarter is 6. 5 centimeters. a) What is the radius? b) What is the circumference ? c) What is the area ? 3. The circumference of a bicycle wheel is 37. 68 inches. a)What is the diameter? b) What is the radius? c) What is the area of the circle ?

4. The radius of a circular rug is 12. 6 feet. a) What is the diameter? b) What is the circumference? c)What is the area of the 5. The circumference of a compact disc is 78. 5 centimeters. a) What is the radius? b) What is the diameter ? c. What is the area ?

6. The diameter of your bicycle wheel is 27. 53 inches. How far will you move in one turn of your wheel? 7. The diameter of your bicycle wheel is 14 inches. How far will you move in one turn of your wheel?

8. The circumference of a bicycle wheel is 53. 38 inches. a)What is the diameter? b) What is the radius? 9. The radius of a circular rug is 20. 4 feet. a) What is the diameter? b) What is the circumference?

10. The radius of a circular rug is 18. 4 feet. a) What is the diameter? b) What is the circumference? 11. The circumference of a compact disc is 75. 36 centimeters. a) What is the radius? b) What is the diameter