Question

Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.​

Answer 1

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

${hypo.}^{2} = {12}^{2} + {9}^{2}$

${hypo.}^{2} = 225$

$hypo. = \sqrt{225}$

$hypo. = 15 \: \: units$

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

$radius = diameter \div 2$

$radius = 15 \div 2$

$radius = 7.5 \: \: units$