find the remaining areas of circle of 10cm diameter after inscibing trangles of 5cm base and 10cm height
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Answer:
25(π-1) cm² or 53.5 cm²
Step-by-step explanation:
Given, diameter of circle is 10 cm. Hence its radius(r) would become 10/2 = 5 cm.
Therefore, its area is π(5)² (∵ area = π(r)²)
=25π cm².
Given base length(b) of the inscribed triangle is 5 cm and its height(h) is 10 cm.
Therefore its area is 1/2 *10*5 ( area = 1/2 x b x h)
= 25 cm²
Remaining area(Δ) can be found by subtracting area of triangle from area of circle.
i.e Δ=25π -25
⇒Δ=25(π-1) cm²
π≈3.14
⇒Δ=25(3.14-1)
⇒Δ=25(2.14)
∴Δ=53.5 cm²
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