Question

In circle J with mLHJK 54 and HJ = 13 units find area of sector HJK. Round to the nearest hundredth. K H J

Answer 1

we have a circle first we will calculate the whole area of the circle using the next formula

`A=\pi r^2`

where r= 13 units

`A=\pi(13)^2=530.93\text{ square units}`

Then we have 54° we need to divide between 360 In order to know the part of the circle we have

`(360)/(54)=(20)/(3)`

so in order to know the area of the sector HJK we will divide the area between 20/3

`A_S=(A)/((20)/(3))=(530.93)/((20)/(3))=79.63`