The formula for the area of a sector of a circle is:
Area of sector = (θ/360) x πr^2
Given that the area of the sector is 55 cm^2 and the radius is 10 cm, we can substitute these values into the formula:
55 = (θ/360) x (22/7) x 10^2
55 = (θ/360) x 220
55 = 2.44θ
θ = 55 / 2.44
θ ≈ 22.54 degrees
Therefore, the angle of the sector is approximately 22.54 degrees.
A sector of a circle has an area of 55cm^2. If the radius of the circle is 10cm, calculate the angle of the sector. (Use π=22/7)
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