Question

How to find the area of a sector with a sector angle of 72 degrees and a radius of 14 cm​

Answer 1

Answer:

Exact area: 39.2π cm²

Approximate area: 123.2 cm²

Step-by-step explanation:

The area of a circle is πr².

A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.

The formula for the area of a sector of circle with central angle n° and radius r is

A = (n°)/(360°) × πr²

Here we have n = 72; r = 14 cm

A = (n°)/(360°) × πr²

A = (72°)/(360°) × π × (14 cm)²

A = 39.2π cm² = 123.2 cm²