Question 78

In the given figure. the length of arc BC of the given circle is 44 cm. If 0 is the centre of circle. then what is the radius (in cm) of the circle?

Solution

Given : $$\widehat{BC}=44$$ cm and $$\angle$$ BOC = $$90^\circ$$

To find : OB = $$r=?$$

Solution : Length of arc = $$\frac{\theta}{360^\circ}\times2\pi r$$

=> $$\frac{90^\circ}{360^\circ}\times2\times\frac{22}{7}\times r=44$$

=> $$\frac{11}{7}r=44$$

=> $$r=\frac{44}{11}\times7$$

=> $$r=4\times7=28$$ cm

=> Ans - (C)

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