A decorative glass panel is made in the shape of a sector of a circle

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A decorative glass panel is made in the shape of a sector of a circle. The sector has a central angle of 110∘110^{\circ} and its area is 2420 cm22420\,\text{cm}^2. (i) Find the radius of the sector, correct to the nearest centimetre. (ii) The outer border of the panel is formed by bending metal along the two straight sides and the curved edge of the sector. Calculate the total length of metal required, taking π=227\pi=\dfrac{22}{7}. (iii) If the metal costs Rs. 30 per metre, find the total cost of the border to the nearest rupee.

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