Question

Find the area of a sector with a central angle of 2π / 15and a radius of 18.8 m. Round to the nearest tenth.

A. 23.6 m²
B. 70.7 m²
C. 47.2 m²
D. 94.2 m²

Answer 1

To find the area of a sector, use the formula A = (θ/2π) * πr². Substituting the given values, the area is approximately 23.6 m²

Step-by-step explanation:

To find the area of a sector, we can use the formula A = (θ/2π) * πr², where θ is the central angle and r is the radius. In this case, θ = 2π/15 and r = 18.8 m.

Substituting the given values into the formula, we get:

A = (2π/15) * π(18.8)^2

Simplifying further, we have:

A = (2/15) * π * (18.8)^2

Calculating this, we find that A is approximately 23.6 m².