Question

A circular path runs around a circular field. The outer perimeter is $66$ m and the inner perimeter is $22$ m less than the outer perimeter. If so, the area of the park is

• A. $154$ sq. m.
• B. $346.5$ sq. m.
• C. $192.5$ sq. m.
• D. $196$ sq. m.

Answer 1

The correct option is A $154$ sq. m.

Given outer perimeter = 66 m

Inner perimeter $=66-22$

$=44m$

Perimeter = circumference $=2\pi r$

$\pi =3.14$

$2\pi r=44m$

$2\left(3.14\right)r=44m$

$r=\frac{44}{6.28}$

$r=7.006$

Area $=\pi r^2$

$=\left(3.14\right)(7.006{)}^2$

$=154.57m$