Question

Find radius of a circle having the same area as that of trapezium as shown in the figure.Height of the trapezium is 4 times Pi.
​Please give full solution and I will mark u as brainliest if u did

Answer 1

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First we will find out the are of trapezium given :-

AB = 18

DC = 32

Distance between parallel lines (h) = 4π

Area of trapezium = $\frac{1}{2}$ × ( Sum of parallel sides ) × h

✒ $\frac{1}{2}$ × ( AB + DC ) × h

✒ $\frac{1}{2}$ ×(18+32) × 4π

✒ $\frac{1}{2}$ × 50 × 4π

✒ 25 × 4π

✒ 100π

Now,

✯ Area of circle = Area of trapezium

➙ πr² = 100π

➙ π × r × r = 100 × π

➙ cancelling 'pi' (π) from both sides

➙ r² = 100

➙ r = $\sqrt{100}$

➙ r = 10

∴ Radius of the circle = 10