Question

The length of the two tangents of a circle from a point is 30 cm each. If the tangents form an angle of 60° with each other, the distance between the point and the centre of the circle is ?

A) 35 cm
B)20√3 cm
C) 30√2 cm
D) 60 cm​

Answer 1

Answer:

20√3

Step-by-step explanation:

cos 30=30/x

√3/2=30/x

x√3=60

x=60/√3

x=20√3

Answer 2

Answer:

A) 35 cm is about how far the circle's point and center are separated from one another.

Explanation:

Given:

The two tangents' relative lengths=30 cm (each)

PQ=PR=30 cm

Through tangents, an angle is created $=60^0$ (with each other)

∠QPR=$60^0$

A circle should also have an O at the center.

OP cuts through  ∠QPR

∠OPR = ∠OPQ = 30°

Similarly, PQ⊥OQ ⇒ ∠OQP = 90°

Along with ΔOPQ,

$cos 30=\frac{PQ}{OP}$

$\frac{\sqrt{3} }{2}=\frac{30}{OP}$

$OP\sqrt{3}=60$

$OP=\frac{60}{\sqrt{3} }$

OP=34.64

OP≅35 cm

As a result, this appears to be 35 cm between the circle's point and center.

To know more about the tangents of the circle, visit:

https://brainly.com/question/16592747

To know more about the distance between the circle's point and center, visit:

https://brainly.com/question/10705996

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