143k views
4 votes
Calculate the amount of space a rug with a diameter of 3 feet will take up in Maria’s room use 3.14 for pi

User Kazaag
by
8.4k points

2 Answers

3 votes

Answer:

7.065 square feet

Explanation:

area =
\pi *
(radius)^(2)

since diameter is given, we have to find radius

D= 3

r= 3/2

=1.5

substitute this value in the formula

area = 3.14 *
(1.5)^(2)

= 3.14 * 2.25

= 7.065 square feet

User Halina
by
8.4k points
1 vote

Answer:

7.065 square feet

Explanation:

To calculate the area of a rug with a diameter of 3 feet, we can use the formula for the area of a circle:


\sf \textsf{Area} = \pi * \left( \frac{\textsf{Diameter}}{2} \right)^2

Given that the diameter (
\sf D) is 3 feet, substitute this value into the formula and use
\sf 3.14 for
\sf \pi:


\sf \textsf{Area} = 3.14 * \left( (3)/(2) \right)^2


\sf \textsf{Area} = 3.14 * \left( (9)/(4) \right)


\sf \textsf{Area} = 3.14 * 2.25


\sf \textsf{Area} = 7.065 \, \textsf{square feet}

So, a rug with a diameter of 3 feet will take up approximately 7.065 square feet of space in Maria's room.

User George WS
by
8.3k points