Question

A circle has a radius of 3.88 inches. Using the correct number of significant digits, find the circumference and area of the circle. The circumference is _____ in. The area is _____ in.

Answer 1

Answer:

The circumference of the circle is 24.37 in

The area of the circle is 47.27 in²

Step-by-step explanation:

The circumference of a circle is given by the formula

$C = 2\pi r$

Where $C$ is the circumference of the circle

$\pi$ is a constant (Take $\pi$ = 3.14)

and $r$ is the radius of the circle

From the question,

radius, $r$ = 3.88 in

Hence, the circumference, $C$ becomes

$C = 2\pi r$

$C = 2(3.14)(3.88)$

$C = 24.37$ in

Hence, the circumference of the circle is 24.37 in

For the area of the circle,

Area of a circle is given by

$A = \pi r^{2}$

Where $A$ is the area of the circle

Since, radius, $r$ = 3.88 in

The area of the circle then becomes

$A = \pi r^{2}$

$A = (3.14) (3.88)^{2}$

$A = 47. 27$ in²

Hence, the area of the circle is 47.27 in²