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A sector with a central angle measure of 175 has a radius of 12cm. What is the area of the sector

Answer»

A sector with a central angle measure of 175° has a radius of 12cm. The area of the sector is 220 cm²

Step-by-step explanation:

Central angle SUBTENDED by the arc at the centre θ = 175°

Radius of the CIRCLE r = 12 cm

We KNOW that area of sector is given by

\boxed{A=\frac{\theta}{360^\circ}\times\pi r^2}

Therefore, the area of the sector is

A=\frac{175}{360}\times \frac{22}{<klux>7</klux>}\times 12\times 12

\implies A=220 cm²

Hope this answer is helpful.

Know More:

Q: A chord of circle of radius 12cm subtends an angle of 120degree at the centre. Find the area of the corresponding segment of the circle.

Click Here: brainly.in/question/301099

Q: Find the area of sector of a circle with radius 7 cm if the angle of the sector is 60 degree.

Click Here: brainly.in/question/15142783



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