Question

PLEASE HELP!!!
Find the length of the radius. Write your answer as
a simplified radical.

Answer 1

Explanation:

Hey there!

Here;

A chord of a circle AB is given with measure of 24 cm.

Let O be the centre of a circle and OP is perpendicular to AB.

Now, draw an imaginary line from O to B. [To make a radius].

Now;

`bp = (1)/(2) * ab`

`bp = (1)/(2 ) * 24`

Therefore BP = 12.

Again;

You can clearly see that POB is a Right angled triangle.

Now,

Using Pythagoras relation we get;

`{ob} = \sqrt{ {po}^(2) + {bp}^(2) }`

`ob = \sqrt{ {8}^(2) + {12}^(2) }`

`ob = √(64 + 144)`

`ob = √(208)`

Therefore OB = 14.42.

As OB is a radius, the value of radius is 14.42.

Hope it helps...