For a given circle of radius 4 cm, the angle of its sector is 45º. Find the area (in cm²) of the sector. (Use π = 3.14.)

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 3)

Answer 1

Given:

Radius of the circle = 4 cm

Angle of the sector = 45º

Formula Used:

Area of sector = \(\frac{θ}{360} \times \pi \times r^2\)

Calculation:

Here, θ = 45º and r = 4 cm

Area of sector = \(\frac{45}{360} \times 3.14 \times 4^2\)

⇒ Area of sector = \(\frac{1}{8} \times 3.14 \times 16\)

⇒ Area of sector = \(\frac{3.14 \times 16}{8}\)

⇒ Area of sector = 3.14 × 2

⇒ Area of sector = 6.28 cm²

The area of the sector is 6.28 cm².

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