Question

ap is a tangent to the circle with Centre O such that op is equal to 4 cm and angle opa is equal to 30 degree then ap is equals to

Answer 1

Answer:

Step-by-step explanation:

Op=4cm

Angle opa=30

Cos30=base/hypotenuse

Root3/2=base/4

Base=2root3

There fore ap =2root3 cm

Answer 2

Given,

AP is a tangent to the circle with Centre O such that OP is equal to 4 cm and ∠OPA is equal to 30°

To Find,

AP

Solution,

Here, we have

OP = 4cm

∠OPA = 30°

We know that,

cos30° = base / hypotenuse

Base = AP

So,

√3/2 = AP / 4

On rearranging, we get the above expression as the following

AP = 4 x √3/2 = 2√3 cm

Hence, AP is equal to 2√3 cm (option c).