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Question
If `l` is the arc length of a sector of a circle of radius r and A is the area of the sector, then A : `l` = ______.
Fill in the Blanks
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Solution
If `l` is the arc length of a sector of a circle of radius r and A is the area of the sector, then A : `l` = `underlinebb(r/2)`.
Explanation:
For central angle θ,
l = rθ and `A = 1/2 r^2θ`,
Hence `A = 1/2 lr`.
Dividing by `l` gives `A : l = r/2`.
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