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Ronch [10]
3 years ago
15

2. The radius of a circle is 7cms. The angle subtended by an arc of the circle at centre is 45º. Find the area of sector.​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

19.2cm²

Step-by-step explanation:

Given parameters:

Radius of the circle  = 7cm

Angle subtended by the arc  = 45°

Unknown:

Area of the sector = ?

Solution:

To find the area of the sector, use the expression below;

     Area of sector = \frac{Angle of the arc}{360} x \pi r^{2}

where r is the radius ;

 Insert the parameters and solve;

       Area of sector = \frac{45}{360} x \pi x 7²

       Area of sector = 19.2cm²

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