Question

A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°

Answer 1

ok so first of all : what is the area of a sector :? do you know about it @ali1995

Answer 2

so it is : \[\large{\frac{\theta}{2}r^2}\](in radians)

Answer 3

but the value of angle is given in degrees so right that as :
\[\large{\frac{\theta}{360}\pi r^2}\] ( in degrees)

Answer 4

given radius = 8 inches and \(\theta = 45\)

Answer 5

put the values :
\[\LARGE{\frac{45}{360}\times \pi \times 8^2}\]

Answer 6

ok thank you