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Question

Calculate the angle subtended at the center of a circle of radius 6cm6\text{cm} by an arc of length 4.4cm4.4\text{cm}. (Take π=227\pi = \frac{22}{7})

Verified Answer

42∘42^\circ

Explanation & Step-by-Step Solving

Solving: Arc length=θ360×2πr  ⟹  4.4=θ360×2×227×6  ⟹  θ=4.4×360×724×22=42∘\text{Arc length} = \frac{\theta}{360} \times 2\pi r \implies 4.4 = \frac{\theta}{360} \times 2 \times \frac{22}{7} \times 6 \implies \theta = \frac{4.4 \times 360 \times 7}{24 \times 22} = 42^\circ

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Exam aration and answersWAEC Exam arationJAMB Exam arationacademic problems

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