Question

AP is tangent to the circle with Centre O at point a OP is equals to 10 cm and angle O P A is equals 30°then find the radius of the circle ​

Answer 1

Answer:

Step-by-step explanation:

radius always makes angle of 90* with the tangent at the point of contact at the circumference of circle.so this type of sums mainly use pythagoras or trigonometry.

let k be the point of contact of radius and tangent at circumference.

So ΔKOP will be a rigth angled triangle with angle OKP=90*

also angle OPA or OPK is 30*  (because K is on AP)

in this sum we will use trigonometry

sin θ = perpendicular side of right triangle or opposite side / hypotenuse

here θ=30*

we know that sin 30*=1/2

thus,  1/2= radius or OK / OP

1/2= OK/10

thus, OK or radius of circle = 5 cm

Answer 2

Answer:

6 cm

Step-by-step explanation:

I hope this helps you!!