An Arc of a circle is of length 5πcm and the sector it bounds has an area of 20πcm square. Find the radius of the circle
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We know that,
Area of sector = 1/2 × radius(r) × length of arc
20 pie = 1/2 × radius × 5 pie
20 pie × 2 ÷ 5 pie = radius
(Here pie will get cancelled and 5 × 1 = 5 & 5 × 4 = 20)
4 × 2 = radius
8 = radius
Therefore the length of radius is 8 cm.
Area of sector = 1/2 × radius(r) × length of arc
20 pie = 1/2 × radius × 5 pie
20 pie × 2 ÷ 5 pie = radius
(Here pie will get cancelled and 5 × 1 = 5 & 5 × 4 = 20)
4 × 2 = radius
8 = radius
Therefore the length of radius is 8 cm.
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