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SSSSS [86.1K]
2 years ago
15

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​

Mathematics
1 answer:
Hitman42 [59]2 years ago
7 0

Answer:

\theta=102.85^{\circ}

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

A=\dfrac{\theta}{360}\pi r^2

Solve for \theta.

\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}

So, the angle of the sector is equal to 102.85^{\circ}.

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