makaylahills1924 makaylahills1924

21-05-2018
Mathematics

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The circle shown has the center o and the measure of angle aob is 45. if the area of the shaded sector is 18 pi what is the radius of the circle

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calculista calculista

30-05-2018

the picture in the attached figure

we know that
area of the circle=pi*r²

if 45° has an area-------> 18*pi units²
360° (full circle)----------> x
x=360*18*pi/45-----> x=144*pi units²

area of circle=pi*r²
144*pi=pi*r²------> r²=144--------> r=√144-----> r=12 units

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