Can someone check my homework please. I need help with the last question though. Thanks in advance =)
1). Area of a circle with R = 12: A = R^2*Pi= 144Pi Area of the shaded sector: 144*Pi*(30/360) = 12Pi 2. Area of circle with R = 16. A = 256* Area of the sector: 256Pi*(45/360) =32 Pi 3) Are of circle with R = 8 -.A = 64Pi Area of sector, quarter of the circle: 64Pi/4 = 16*Pi = 50.24 Minus the area of triangle: 8*8/2 = 32 Are of shaded area: 50.24 - 32 = ......
I don't know if should go with you or robtobey =/
4. Area of circle with R = 18: A = (18)^2*Pi = 243*Pi Shaded area = (3/4) of circle + are of triangle 3/4 area of full circle: 243*Pi*(3/4) = 243Pi = 763.12 Plus area of triangle: 18x9 = 162 Shaded area: 763.12 + 162 = ..... 5). Shaded area = Area of square - area of one circle Area of the square: 8x8 = 64 Area of a circle: Pi*R^2 = 16*Pi = 50.24 Shaded area: 64 - 50.24 = ....
Okay. So the answer to question 1 would be 12pi square inches. Question 2 would be 32pi square centimeters. Question 3 would be 18.2 square feet. Question 4 would be 925.1 square feet. And Question 5 would be 13.8 square feet?
first ans is 12
\(\bf \large \textit{area of a sector of a circle}=\cfrac{\theta \pi r^2}{360}\qquad \begin{array}{llll} \theta=\textit{angle in degrees}\\ r=radius \end{array}\) just like you've done the other ones -> http://openstudy.com/study#/updates/5337448ae4b02a0194d82d61
second one is 16
Just as a side note @EG145341 , The easiest way to think about areas of a section of a circle is to think about what faction of the circle they are, then all you have to do is multiply that fraction against the total area of the circle.
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