Question

What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?​

Answer 1

Area of sector is 17.584 meters

Solution:

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of 56 degrees is the fraction
`(56)/(360)` of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction
`(56)/(360)` of the circle

The area of the sector will therefore also be
`(56)/(360)` of the area

`\text{ sector area } = (56)/(360) * \pi r^2\\\\\text{ sector area } = (56)/(360) * 3.14 * 6^2\\\\\text{ sector area } = 17.584`

Thus area of sector is 17.584 meters