In ®a shown below, radius ab is perpendicular to chord xy at point c. if xy=24 and ac=5 cm, what is the radius of the circle?

ANSWER

B. 13cm

EXPLANATION

The radius of the circle becomes the hypotenuse of the right triangle formed.

We can use the Pythagoras Theorem to obtain,

AC²+CY²=r²

This implies that,

r²=5²+12²

r²=25+144

r²=169

Take positive square root to get;

r=√169

r=13

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