1.

A sprinkler placed at the centre of a flower garden sprays water covering a circular area. If the area watered is 1386 cm2, find its radius and diameter.

Answer»

Area of the circle = πr2 sq.units 

Area of the circular portion watered = 1386 cm2 

πr2 = 1386 

\(\frac{22}{7}\) x r2 = 1386

r2 = 1386 x \(\frac{7}{22}\)

= 63 x 7 

= 9 x 7 x 7 

r2 = 32 x 72 

r = 3 x 7 

Radius (r) = 21 cm

Diameter (d) = 2r 

= 2 x 21 cm 

Diameter (d) = 42 cm



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