Question

Find the circumference of each circle, use 3.14 for . Include units and round to the nearest tenth. Show work

7. The circumference of a circle is 34.54 cm. What is the diameter and radius of the circle? (Show work)




8. What is the circumference of a circle in terms of , if it has a radius of 3.5 in?
(in terms of means do not substitute 3.14 for pi, leave the symbol in the final answer)

Answer 1

Answer:-

a) The circumference of the circle C = 21.98 m

b) The circumference of the circle C = 37.68 ft

c) The circumference of the circle C = 40.82 km

d) The radius of the circle = r = 11 c.m

The Diameter of the circle 'd' = 2(r) = 2(11) =22 c.m

e) The circumference of the circle = 21.98 inches

Explanation:

a) In First diagram

Given radius of the circle 'r' = 7.1 m

The circumference of the circle C = 2πr

C = 2 (3.14) (7.1)

C = 21.98 m

The circumference of the circle C = 21.98 m

b) In second diagram

Given diameter of the circle 'd' = 12 ft

The circumference of the circle C = 2πr

C = π(2 r)

Diameter = 2 X radius

d = 2 r

The circumference of the circle C = πd

C = 3.14 ×12

The circumference of the circle C = 37.68 ft

c)

Given diameter of the circle 'd' = 13 km

The circumference of the circle C = 2πr

C = π(2 r)

Diameter = 2 X radius

d = 2 r

The circumference of the circle C = πd

C = 3.14 ×13

The circumference of the circle C = 40.82 km

7) The circumference of the circle C = 2πr

Given The circumference of a circle is 34.54 cm

Now 2πr = 34.54

2(3.14) r = 34.54

`r = (34.54)/(3.14) = 11`

The radius of the circle = r = 11 c.m

The Diameter of the circle 'd' = 2(r) = 2(11) =22 c.m

8) Given radius of the circle 'r' = 3.5 inches

The circumference of the circle C = 2πr

C = 2 (3.14) (3.5)

C = 21.98

The circumference of the circle = 21.98 inches