A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

Question

Mathematics

Yasmine Delacruz

3 October, 17:03

A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

+3

Answers (1)

Know the Answer?

Osvaldo Cortez · Answer 1

A 15° sector in a circle has an area of 11.9 m2. What is the area of the circle?

The area of the circle will be found as follows:

the fraction of the sector=15/360=1/24

the area of the circle will be:

area = (fraction of the circle) / (fraction of the sector) * (area of the sector)

=1 / (1/24) * 11.9

=285.6 m²