Question

Please Help I Dont Understand.

Answer 1

273.2 units²

Step-by-step explaanation:

Area of a circle =
`\pi`r²

Area of red circle = 16 units² x
`\pi`

= 256 units²
`\pi`

= 804.224 units²

Area of blue circle = 13 units² x
`\pi`

= 169 units²
`\pi`

= 530.914 units²

Area of desired portion = area of bigger circle - area of smaller circle

804.224 units² - 530.914 units² = 273.31 units²

≈ 273.2 units²

Answer 2

273.2 units²

Explanation:

Formula

`\text{Area of a circle}=\pi r^2 \quad \text{(where r is the radius)}`

Area of Smaller circle

Given:

• r = TP = 13

`\implies \text{Area of smaller circle} \rm=\pi (13)^2=169\pi \:units^2`

Area of Larger circle

Given:

• r = RP = 16

`\implies \text{Area of larger circle} \rm=\pi (16)^2=256\pi \:units^2`

Difference in areas

`\begin{aligned}\rm Difference & = \text{Area of larger circle}-\text{Area of smaller circle}\\& = \rm 256 \pi - 169 \pi \\& = \rm 87 \pi \\& = \rm 87 \cdot 3.14\\& = 273.18\\& = \rm 273.2\:units^2\:(nearest\:tenth)\end{aligned}`