Question

the area of a circle is 154 cm². find the area of a square inscribed in the circle​

Answer 1

Answer:

mark brainliest plss

Step-by-step explanation:

Area of the circle = 154 sq cm

⇒\pi r^2 = 154

⇒ \frac{22}{7} r^2 = 154

⇒ r^2 = 49

⇒r = 7 cm

Let the side of the triangle = a cm

So, s = \frac{3a}{2}

But the radius of the incircle, r = \frac{\Delta}{s} Where Δ = Area of the triangle and s = semi-perimeter

7 = \frac{ \frac{ \sqrt{3} }{4} a^2 }{ \frac{3a}{2} }

7 = \frac{ \sqrt{3}a^2 }{2*3a}

7 = \frac{ \sqrt{3}a}{6}

a = \frac{42}{ \sqrt{3} }

a = \frac{42 \sqrt{3}}{3 } = 14 \sqrt{3}

Perimeter of triangle, 3a = 3*14 \sqrt{3} = 42 \sqrt{3}

Perimeter of triangle = 42(1.73) = 72.66 cm

Answer 2

Answer:

the radius of the circle will be 7 cm.

so the side of the square will be 14 cm.

so the area of the square 14×14=196 cm×cm