163k views
0 votes
Find the area of a sector with a central angle of 140° and a diameter of 9.5 cm. Round to the nearest tenth.

2.9 cm^2
7.4 cm^2
110.3 cm^2
27.6 cm^2

1 Answer

2 votes

Answer:

27.6 cm²

Explanation:

The area of a sector is given by ...

A = (1/2)r²θ

where r represents the radius, and θ represents the central angle in radians.

The radius is half the diameter, so is 4.75 cm. The angle in radians is ...

(140°)(π/180°) = 7π/9

So, the sector area is ...

A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²

The area of the sector is about 27.6 cm².

User Richard Gale
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories