# 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 × r^{2}

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.

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