SA3 marksYear: 2025MediumCBSE Class 10
areas-related-to-circlessectorarea
Question
The length of the hour hand of a clock is 10 cm. Find the area of the minor sector swept by the hour hand of the clock between 5 a.m. to 8 a.m. Also, find the area of the major sector.
Solution
1
Central angle subtended by hour hand between 5 am to 8 am =12360°×3=90°
+0.5 marks2
Area of minor sector =36090×722×(10)2=41×722×100=7550 or 78.57 cm2 approx.
+1 mark3
Area of circle =722×(10)2=72200 cm2
+0.5 marks4
Area of major sector =72200−7550=71650 or 235.71 cm2 approx.
+1 mark