Question

if the radius of the circle is 6 cm and the length of an Arc is 12 CM then find the area of the sector

Answer 1

Circumference of the circle = 2πr

=> 2 × π × 6

= 12π

So the circumference of circle is 12π cm

Now length of the arc is 12cm

To find out the area of sector, we need to find what part is the sector, of the total circle.

So fraction of the length of arc to circumference = 12/12π

= 1/π

So area of the sector = fraction × πr²

= 1/π × π × 6²

= 6²

= 36 cm²

Answer 2

length of arc = 12

radius = 6

as we know arc length = angle subtended × radius

angle = arc length/radius

= 12/6 = 2


Now,area of sector = pie r^2/2pie. × ANGLE

= r^2, angle/2

= 6× 6 × 2/2

= 36 cm^2


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