What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?
Solution:
Given, the central angle of sector 210 degrees
Diameter = 4.6 m
Radius, r = 4.6/2 = 2.3 m
We have to find the area of a sector
Area of sector = (central angle/360°) × 𝜋 × r2
Area = (210°/360°) × 3.14 × (2.3)2
= 0.583 × 3.14 × 5.29
= 9.7 square meters
Therefore, the area of a sector is 9.7 square meters.
What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?
Summary:
The area of a sector with a central angle of 210 degrees and a diameter of 4.6m is 9.7 square meters.