Find the radius of a sector whose are length and area are 27.5 cm and 618.75 cm?
respectively
(a) 35 cm (b) 25 cm
45 cm (d) 55 cm
Answers
Answered by
4
area of a sector=1/2×r×l
618.75=1/2×r×27.5
r=618.75/13.75=45cm
618.75=1/2×r×27.5
r=618.75/13.75=45cm
Answered by
1
Dear Student,
◆ Answer -
r = 55 cm
● Explaination -
Let r be radius of the circle and θ be subtended angle.
Area of sector,
A = πr^2 × θ/360
618.75 = πr^2 × θ/360 ...(1)
Length of arc,
l = 2πr × θ/360
27.5 = 2πr × θ/360 ...(2)
Divide (1) by (2),
618.75 / 27.5 = (πr^2 × θ/360) / (2πr × θ/360)
r/2 = 22.5
r = 22.5 × 2
r = 55 cm
Hence, radius of a sector is 55 cm.
Thanks dear. Hope this helps you...
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