Question

In figure, if the area of the circle is $64\pi$ square units, calculate the area of triangle $ABC$ to the nearest hundredth.

• A. $55.43$
• B. $110.85$
• C. $128$
• D. $221.7$
• E. $443.41$

Answer 1

The correct option is B $110.85$

Let radius of circle be $r$

Area of circle is $\pi r^2=64\pi$

$\therefore \pi r^2=64\pi$
$\therefore r=8$
Therefore $AC=2r=16$
Area of Triangle is $\frac{1}{2}\times 16\times 16\times \sin 60=64\sqrt{3}=110.85$