Question

Rectangle GHIJ inscribed in a circle, GK⊥JH, GK = 6cm, m∠GHJ = 15°. Find the radius of the circle. pls help !!

Answer 1

Radius of circle is given as 22.39 cm

Explanation:

Given data:

GHIJ is rectangle which is inscribe in a circle such that prependicular lie on one side of traingle form by joining the diagnol of rectangle is 6 cm

and angle is given as 15 degree as shown in figure given below

we know that

`tan\theta = (prependicular)/( base)`

so we have

`tan\theta = (6)/(x)`

`tan15 = (6)/(x)`

tan 15 = 0.267 {from calculator}

so we have

x = 22.39 cm

hence the radius of circle is given as 22.39 cm