Question

Please answer 50 points

Answer 1

• 314 in²

Solution:

Area of a circle is given bythe formula:

‎ㅤ‎ㅤ‎ㅤ➙ A = πr²

So, in a quarter circle we divide a circle into 4 parts, the area will be:

‎ㅤ‎ㅤ‎ㅤ➙ A = πr² / 4

Here,

• Radius= 20 in
• π = 3.14

Therefore, Area:

➝ A = πr² / 4

➝ A = ( 3.14 × 20² ) / 4

➝ A = ( 3.14 × 400 ) / 4

➝ A = 1256 / 4

➝ A = 314 in²

Answer 2

`\huge\boxed{\sf 314 \ in.^2}`

Explanation:

Given that:

Radius = 20 in.

Formula for area of a quarter circle:

`\displaystyle = (\pi r^2)/(4)`

Solution:

`\displaystyle = ((3.14)(20)^2)/(4) \\\\= ((3.14)(400))/(4) \\\\= (3.14)(100)\\\\= 314 \ in.^2\\\\\rule[225]{225}{2}`