Question

The area of a sector of a circle with a central angle of radians is . Find the radius of the circle. Do not round any intermediate computations. Round your answer to the nearest tenth.

Answer 1

Answer:

3.5ft

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the complete question in the diagram attached.

Area of a sector = θ/360 * πr² where;

r is the radius

θ is the angle substended by the sector

Given parameters

Area of the sector = 9ft²

central angle θ = 1.5 radians

Since  1 radians = 57.2958°

1.5 radians = (1.5 * 57.2958)

1.5 rad = 85.9437°

Substituting the given values into the formula;

Area of a sector = θ/360 * πr²

9 = 85.9437/360 * (3.14)r²

9 = 0.2387325 * 3.14r²

9 = 0.74962005r²

r² = 9/0.74962005

r² = 12.00608

r = √12.00608

r = 3.4641

r = 3.5 ft (to the nearest tenth)

Hence the radius of the circle is 3.5ft