help me out with this sum please !
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Heya friend here's your answer in the attachment
Hope it helps you
Hope it helps you
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Aisha4265:
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Given Area of the sector of circle = 207.9 cm^2 and measure of the arc = 54 deg.
(1) We know that Area of the sector of circle A = N/360 * (pir^2)
207.9 = 54/360 * (3.14 * r^2)
207.9 * 360 = 54 * 3.14 * r^2
74844 = 169.56 * r^2
r = 21cm.
Therefore the radius of the circle = 21cm.
(2)We know that Area = R * L/2
207.9 = 21 * L/2
207.9 * 2 = 21 * L
415.8 = 21 * L
L = 415.8/21
= 19.8cm.
Therefore the length of the arc = 19.8cm.
Hope this helps!
(1) We know that Area of the sector of circle A = N/360 * (pir^2)
207.9 = 54/360 * (3.14 * r^2)
207.9 * 360 = 54 * 3.14 * r^2
74844 = 169.56 * r^2
r = 21cm.
Therefore the radius of the circle = 21cm.
(2)We know that Area = R * L/2
207.9 = 21 * L/2
207.9 * 2 = 21 * L
415.8 = 21 * L
L = 415.8/21
= 19.8cm.
Therefore the length of the arc = 19.8cm.
Hope this helps!
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