BY MOHAN ABRAHAM

Percy L. Julian High School10330 S Elizabeth Ave., Chicago,

IL 60643 GEOMETRY

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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)

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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 r23. The diameter of a circle is 15 units long. What is

the circumference of the circle in π? C = π d4.A circle has a radius of 9+2x . What expression

is equivalent to the area of the circle ?A. 2 π (9+2x) B. 9 + 2x C. π(9+2x)2

D. 2(9+2x) E. 81x2 π

Exploring Circles – Parts of a Circle

A circle is a plane figure with all points the same distance from the center. It is named by the center.

C

• The distance around a circle is called the circumference.

• The distance across a circle through the center is called the diameter.

• The radius of a circle is the distance from the center of a circle to any point on the circle.

radi

us

Some useful formulas:If C = circumference, r = radius, and d = diameter, then

C = πd = 2πr

d = 2r or r = d/2

1.The diameter of a quarter is 8 centimeters. a) What is the radius?

b)What is the circumference ?

c. What is the area ?

A = πr2

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