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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