The shaded part of the circle below represents the portion of a garden where a landscaper planted rose bushes. What is the approximate area of the part of the garden used for rose bushes?
![The shaded part of the circle below represents the portion of a garden where a landscaper planted rose bushes What is the approximate area of the part of the ga class=](https://us-static.z-dn.net/files/d6d/cea6e2d3c058edab73142a829555fc06.jpg)
Answer:
942ft^2
Step-by-step explanation:
Use the equation (θ/360)*[tex]\pi[/tex][tex]r^{2}[/tex] to get the area of the shaded sector.
(120/360)*[tex]\pi[/tex]*[tex]30^{2}[/tex]
(1/3)*[tex]\pi[/tex]*900
≈942[tex]ft^{2}[/tex]
The area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a circle shown in the picture.
The area of the shaded region:
[tex]\rm A = \dfrac{120}{360}\pi (30)^2[/tex]
A = 942.47 ≈ 942 square ft
Thus, the area of the shaded region is 942 square ft if the radius of the circle is 30 ft option (G) is correct.
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