Rectangle ghij inscribed in a circle, gk⊥jh, gk = 6cm, m∠ghj = 15°. find the radius of the circle. pls

6(2 + √3)  

Step-by-step explanation:

Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK =  6 cm and m∠GHJ=15°.

To find: Radius(KH) =?

Sol:  As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.

Now, In ΔGKH,

        (∵ tan 15° = 2 - √3)

On rationalizing the above expression,

Therefore, radius of the circle (KH) = 6 (2+√3)

This is how to find the value of tan 15°

tan 15° = tan (45° -30°)

Now using,

On rationalizing,

Taking 2 common from numerator,

tan 15° = 2 - √3

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation: