Question

Please help!! Thanks

Answer 1

`\boxed{\mathtt{Area \approx 104.7m^(2)}}`

Explanation:

`\textsf{We are asked to find the area of 1/3 of a circle.}`

`\textsf{Let's review the formula needed to find the area of a \underline{whole} circle.}`

`\large\underline{\textsf{Formula:}}`

`\mathtt{Area = \pi (radius)^(2).}`

`\textsf{We should know that a circle is 360}^(\circ). \ \textsf{We are given 120}^(\circ) \textsf{of a circle.}`

`\textsf{The area of \underline{1/3} of a Circle is the area of a whole circle \underline{divided by 3.}}`

`\textsf{Let's begin solving for the area.}`

`\large\underline{\textsf{Substitute:}}`

`\mathtt{Area = \pi (10)^(2)}`

`\large\underline{\textsf{Evaluate:}}`

`\mathtt{Area = 100\pi }`

`\large\underline{\textsf{Divide by 3:}}`

`\mathtt{(Area)/(3) = (100\pi )/(3)}`

`\boxed{\mathtt{Area \approx 104.7m^(2)}}`