A circle has a radius of 7 cm. Find its circumference and area in terms of π.
Solution
Problem
A circle has a radius of 7 cm. Find its circumference and area in terms of π.
The circumference of a circle is given by:
C = 2πr
Substitute r = 7:
C = 2π(7)
C = 14π
So the circumference is 14π cm.
The area of a circle is given by:
A = πr^2
Substitute r = 7:
A = π(7^2)
A = 49π
Therefore, the circumference is 14π cm and the area is 49π cm².
Result
Circumference = 14π cm; Area = 49π cm²