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Class 10 › Mathematics › Areas Related to Circles
CBSE2026Class Class 10 · Mathematics4 Marks · Long✅ Verified
A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors. Based on the above information, answer: (i) What is the radius of the circle? [1 mark] (ii) What is the circumference of the brooch? [1 mark] (iii)(a) What is the total length of silver wire required? [2 marks] OR (iii)(b) What is the area of each sector of the brooch? [2 marks]
✅ Answer & Solution
(i) Radius $=\frac{\text{diameter}}{2}=\frac{35}{2}=17.5$ cm. (ii) Circumference $=\pi d=\frac{22}{7}\times35=110$ cm. (iii)(a) Total wire length = Circumference + length of 5 diameters $=110+5\times35=110+175=285$ cm. OR (iii)(b) Area of circle $=\pi r^2=\frac{22}{7}\times17.5^2=\frac{22}{7}\times306.25=962.5$ cm². Area of each sector (1 of 10 equal sectors) $=\frac{962.5}{10}=96.25$ cm².
