Question

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

Answer 1

Answer: what

Explanation:

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Answer 2

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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) = (100)/(4)`

• 
  `{x}^(2) = 25`

• 
  `x = √(25)`

• 
  `x = 5`

Therefore radius of circle is :

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

Now, Area of circle :

`\large\boxed{\pi {r}^(2) }`

• 
  `\pi * 5 * 5`

• 
  `25\pi \: \: in {}^(2)`

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