Question

Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi.

a. C = 11π; A = 44π
b. C = 22π; A = 44π
c. C = 11π; A = 121π
d. C = 22π; A = 121π

Answer 1

Answer: d. C = 22π ; A = 121π

Explanation:

Circumference of a circle with diameter d is given by :-

`C=\pi d`

Given: Diameter of circle = 22 inches

Therefore, the circumference of circle is given by :-

`C=\pi (22)=22\pi`

Area of circle:
`A=\pi r^2`, where r is radius of circle.

Since diameter = 22 inches, then radius = 11 inches [Half of diameter]

Now, Area of circle:
`A=\pi (11)^2=121\pi`

Answer 2

the circumference formula is
C=Diameter x π=22 x π, the area formula is A=π x R²
or R=D/2=22/2=11

the answer is d. C = 22π; A = 121π