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goldenfox [79]
2 years ago
9

In the given figure, O is centre of the circle. Find the value of x and y? ​

Mathematics
1 answer:
Effectus [21]2 years ago
4 0

Answer:

The value of x = 13cm and y = 12cm.

Step-by-step explanation:

P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

Distance between the point and centre of the circle = x cm

We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛x² = 12²+5²

⇛x² = 144+25

⇛x² = 169

⇛x² = 13²

<h3>⇛x = 13 cm</h3>

We know that

The lengths of tangents drawn from the exterior point to the circle are equal.

<h3>y = 12 cm</h3>

<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> in the given figure, O and O' are centre of two circles and the circles intersect each other at points B and c. If AOCD is a straight line and /_ AOB =110, find...

brainly.com/question/957506?referrer

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