Question

Q12.Theareaofthesquarethatcanbeinscribedinacircleofradius8cmis (a)256cm2. (b)128cm2. (c)642cm2. (d)64cm2​​

Answer 1

Answer:

The radius of circle, r = 8cm

The diameter of circle, d = 2r = 2 × 8 = 16cm

Since, square is inscribed in a circle.

Therefore, the diameter of circle = Diagonal of square inscribed in a circle = 16cm.

Now, we know that the area of square if diagonal is given:

$(area) = \frac{(diagonal) {}^{2} }{2}$

by substituting the value in the given formula we get

$(area) = \frac{16 {}^{2} }{2}$

$\frac{256}{2}$

area = 128 cm ²

Answer 2

Answer:

answer is (b) 128cm

Step-by-step explanation:

so we are here