Question

A circle has a radius of 4 centimeters. Find the area of the sector of the circle formed by an angle of 55°. If necessary, round the answer to two decimal places.

Select one:

Answer 1

2.44π cm²

or

7.68 cm²

Since the choices are not shown, I do not know whether the choices are in terms of π or totally numeric Choose one of the two above. They are both the same value

Explanation:

Area of a circle of radius r is A = πr²

An entire circle encompasses 360°

If a sector of the circle has an angle of Фat the center, the area of the sector is Ф/360 x πr²

Given r = 4 and Ф = 55°

Area of this sector = 55/360 x π (4)² = 55/360 x 16 x π = 2.44π

2.44π = 7.68 cm²