मराठी

With vertices A, B and C of ΔABC as centres, arcs are drawn with radii 14 cm and the three portions of the triangle so obtained are removed. Find the total area removed from the triangle. - Mathematics

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प्रश्न

With vertices A, B and C of ΔABC as centres, arcs are drawn with radii 14 cm and the three portions of the triangle so obtained are removed. Find the total area removed from the triangle.

बेरीज

उत्तर

Total area removed = `(∠A)/360 πr^2 + (∠B)/360 πr^2 + (∠C)/360 πr^2`

= `(∠A + ∠B + ∠C)/360 πr^2`

= `180/360 πr^2`

= `180/360 xx 22/7 xx (14)^2`

= 308 cm2

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