Question

The angle between the tangents to a circle of radius r from a point outside is 90⁰ find the

length of tangent.​

Answer 1

Step-by-step explanation:

Given: Circle with center O, AP and BP are two tangents to the circle from external point P such that angle P =90°.

OP is an angle bisector of both AngleO and Angle P.

so, AOP=BOP=BPO=APO=45°.

Consider any triangle ∆PAO or ∆PBO.

i.e.,In ∆PAO, Angle A=90°.

By Pythagorean triplet:

hyp² =r²+AP².

Length of tangent AP=√hyp²-r².

Answer 2

Answer:

AnsWer Attached In Photos