Question

What is the area of the circle?
Leave your answer in terms of pi.

Answer 1

Answer: what

Step-by-step explanation:

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Answer 2

$\boxed{ \boxed{\huge{ \mathrm{  \underline{ Answer} }}}}$

TS is diameter of the circle, and we know that a diameter forms 90° angle at the circumference of the circle.

So, Triangle TRS is a Right angled triangle.

let's take radius of the circle as x

TS = 2x

Applying Pythagoras theorem :

• $\mathrm{TS²= TR²+SR²}$

• $(2x) {}^{2} = {6}^{2} + {8}^{2}$

• $4 {x}^{2} = 36 + 64$

• ${x}^{2} = \dfrac{100}{4}$

• ${x}^{2} = 25$

• $x = \sqrt{25}$

• $x = 5$

Therefore radius of circle is :

$\large \boxed{5 \: in}$

Now, Area of circle :

$\large\boxed{\pi {r}^{2} }$

• $\pi \times 5 \times 5$

• $25\pi \: \: in {}^{2}$

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