Question

The circumference of a circle is 9 pi cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answer 1

Answer:

20.25 × pi cm²

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius.

in our case

9×pi = 2×pi×r

9 = 2r

r = 9/2 = 4.5 cm

the area of a circle is

pi×r²

in our case that is

pi×(4.5)² = 20.25 × pi cm²