Chapter 11 · Class 10 CBSE · Formula Sheet
Areas Related to Circles Formulas — Class 10 CBSE
Calculate area of sectors, segments, and combinations of plane figures involving circles.
Key Formulas
Area of Circle
A = \pi r^2
Area of Sector
A = \dfrac{\theta}{360°} \times \pi r^2
Length of Arc
L = \dfrac{\theta}{360°} \times 2\pi r
Area of Segment
A = \text{Area of sector} - \text{Area of triangle}
Worked Examples
1Using: Area of Rectangle
Find the area of a rectangle with length 12 cm and breadth 5 cm.
Step 1: Area = l x b
Step 2: = 12 x 5 = 60 sq. cm.
Answer: 60 sq. cm
2Using: Perimeter of Square
Find the perimeter of a square with side 8 m.
Step 1: Perimeter = 4a
Step 2: = 4 x 8 = 32 m.
Answer: 32 m
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