Question

I don't have a diagram, but here's the key info:
There is a sector of a circle:
The radius is 5.2
The arc length is 6π
You are not given the angle of the sector

Find the area of the sector, and give your answer in terms of pi I got 49π, let me know if I'm right ty. I've attached my working out

Answer 1

Answer:

• Area of sector is 15.6π

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Let the central angle be α.

Arc length equation

• s = 2πr × α/360, if α in degrees
• s =  2πr × α/2π = αr, if α in radians

We have

• s = 6π and r = 5.2

Find the central angle

• s = αr
• 6π = 5.2α
• α = 6π/5.2

Area of sector

• A = r²α/2, when α in radians

Substitute the value of α

• A = 5.2² × 6π/5.2 × 1/2 = 5.2 × 3π = 15.6π

Note: You could get it more easily if considered 360° = 2π in your calculations.