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haleyking345
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What is the area of the sector of a circle if the radius is 16cm and the angle rotation is 150 degrees?
I got this question wrong, so i am hoping for some help.
 2 years ago
 2 years ago
haleyking345 Group Title
What is the area of the sector of a circle if the radius is 16cm and the angle rotation is 150 degrees? I got this question wrong, so i am hoping for some help.
 2 years ago
 2 years ago

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funinabox Group TitleBest ResponseYou've already chosen the best response.1
i think its just the radius * how much it's rotated but the degrees should be radians 150 * (pi/180) = 5pi/6 so 16 * 5pi/6 is the answer
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
which should come out to ~41
 2 years ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
That is what I had put on my homework and he counted it wrong. I think that is for length, not area.
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
yes you're right one way you can do it though is to find the area of the whole circle, then find what 150/360 of it is. A = pi*r^2 A = pi*16^2 A = 301.44 but that is for 360 degrees, you want only 150. 150/360 = 5/12 so the real area is (5 * 301.44) / 12
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
which should be roughly 125 square centimetres
 2 years ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
where did the five come from?
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
5 comes from the ratio 5/12, which is just a simplified 150/360 as there are 360 total degrees in a circle, and you are looking for 150 of it (little less than half the circle) so you are looking for the area of 150/360 of a circle, or 5/12 you know the area of the full circle is 301.44 so (5/12) * 301.44 should give you the smaller area
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
basically i set up a ratio: 301.44 sq cm for 360 degrees x sq cm for 150 degrees 301.44/360 = x/150 301.44*150/360 = x 301.44*(5/12) = x x being the area
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
if that helps you picture it
 2 years ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
ok, I don't know what i did but i did not get 301.44
 2 years ago

funinabox Group TitleBest ResponseYou've already chosen the best response.1
301.44 is the area of the TOTAL circle you only want PART of the circle the part of the circle you are looking for, is 5/12 of the total circle. therefore, 5/12*301.44 is the answer which is about 125 square centimeters
 2 years ago

haleyking345 Group TitleBest ResponseYou've already chosen the best response.0
ok, thank you. I understand.
 2 years ago
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