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Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?

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#### Solution

It is not true because in case of major segment, area is always greater than the area of its corresponding sector. It is true in the case of minor segment.

Therefore, we can conclude that it is not true to say that area of a segment of a circle is less than the area of its corresponding sector.

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**Given: **The radius of a circle (r) = `square`

Measure of an arc of the circle (θ) = `square`

Area of the sector = `θ/360^circ xx square`

= `square/360^circ xx square xx square xx square`

= `square xx square xx square`

= 47.10 cm^{2}

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