Question

Deck PlanOutside* EdgeWall A10 feetDoorway13 feet-10 feetWall BThe deck will have the shape of one fourthof a circle. What is the best estimate of thearea (A) of this deck?(Area of circle = tr2)πr)(Use 3.14 for it.)

Answer 1

18) the best estimate will be 75 square feet (option G)

Step-by-step explanation:

18) radius = 10ft

let π = 3.14

We are told the deck will have 1/4 the area of a circle. We need to first find the area of a circle.

Area of circle = πr²

`\begin{gathered} Area\text{ of circle = 3.14 }*\text{ 10}^2 \\ Area\text{ of circle = 314 ft}^2 \end{gathered}`

Next, we will divide the area by 4:

`\begin{gathered} Area\text{ of the deck = }\frac{area\text{ of circle}}{4} \\ Area\text{ of the deck = }(314)/(4) \\ \\ Area\text{ of the deck = 78.5 ft}^2 \end{gathered}`

From the options, the one close to the result we got is 75 square feet

Hence, the best estimate will be 75 square feet (option G)