Question

A circular platform has a circumference of 308 feet , determine the area of the platform

Answer 1

Area of circular platform is 7549.25 feet ².

Explanation:

in the given question we have to find the area of Circle, where circumference of circle is given.

Area of Circle A = πr²

and Circumference of circle C = 2πr => r = C/2π

Putting value of r in area of circle:

A = π (c/2π)²

A = C²/4π

Putting value of C = 308 feet and π = 3.1415

A = (308)² / 4*3.1415

A = 7549.25 feet ²

So, Area of circular platform is 7549.25 feet ².

Answer 2

A = 7552.866242 ft^2

Explanation:

Circumference = 2 * pi *r

308 = 2 * pi *r

Divide each side by 2

154 = pi *r

Divide each side by pi

154/pi = pi *r/ pi

154/pi = r

The area of a circle is given by

A = pi r^2

A = pi * (154/pi)^2

A = pi * 154/pi * 154/pi

A = 154*154 /pi

A =23716/pi

Let pi be approximated by 3.14

A = 23716/3.14

A = 7552.866242 ft^2