In a circle, the length of a minor arc is and it subtends an angle of at the centre.…

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

In a circle, the length of a minor arc is 22 cm22\,\text{cm} and it subtends an angle of 55∘55^{\circ} at the centre. Take π=227\pi = \dfrac{22}{7}. (i) Find the radius of the circle. (ii) Calculate the area of the sector bounded by this arc and the two radii. (iii) Determine the length of the major arc of the same circle.

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