Question

Find the area of this circle

Answer 1

`{75ft}^(2)`

Explanation:

`a = \pi{r}^(2) = 3 {r}^(2) \\ a =3 ({ (10)/(2) })^(2) = 3 * {5}^(2) \\ a = 3 * 25 = 75`

1. First, we replace π with 3, since we were told to.
2. We know 10 is the diameter and the radius is half of the diameter, so we divide 10 by 2.
3. We get 5. 5 squared is the same as (5×5).
4. Finally, we multiply 3 by 25.

Answer 2

Calculate the area of the circle

To start solving this exercise, we obtain as data:

• π = 3
• r = 10 ft²
• a = ?

To find the area of the circle. We apply the following formula: A =π r², where

• a = area
• π = pi
• r = radius

We substitute our data in the formula and solve:

Substituting values into the equation:

• 
  `\boldsymbol{\sf{A=3*(10 \ ft)^(2) }}`

Taking the square root:

• 
  `\boldsymbol{\sf{A=3*100 \ ft^(2) }}`

Multiplying

• 
  `\boxed{\boldsymbol{\sf{A=300 \ ft^(2) }}}`

Therefore, the area of the circle is 300 ft².