1.

A circle having radius equal to 6 cm is cut into 8 equal pieces and a circle equal to 70% of the area of one of the pieces is made. What is the ratio of the radii of two circles?1). 7 ∶ 112).3). 9 ∶ 54). 3 ∶ 10

Answer»

Area of a circle with radius of 6CM = π × R2 = 36π

Area of each piece = 36π/8 = 4.5π

Another circle having area 70% of 1 piece = 0.7 × 4.5π

If the radius of this new circle is R.

⇒ πR2 = 3.15π

⇒ R = √3.15 = 1.7741.8 cm

∴ Ratio of radii = 1.8 ? 6 = 3 ? 10


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