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

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 of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction of the circle

The area of the sector will therefore also be   of the area

Thus area of sector is 17.584 meters

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°