Question

each side of an equilateral triangle is equal to the radius of a circle whose area is 154 cm square the area of the triangle is

Answer 1

what's there in this

Answer 2

Answer:

The area of triangle is $\frac{49\sqrt{3}}{4}$ cm² or 21.22 cm².

Step-by-step explanation:

It is given that each side of an equilateral triangle is equal to the radius of a circle whose area is 154 cm square.

Let length of each side of an equilateral triangle be r.

The area of a circle is

$A=\pi r^2$

$154=\frac{22}{7}\times r^2$

$r^2=49$

$r=7$

The radius of the circle is 7 cm. It means the length of each side of an equilateral triangle is 7 cm.

The area of an equilateral triangle is

$A=\frac{\sqrt{3}}{4}a^2$

$A=\frac{\sqrt{3}}{4}\times (7)^2$

$A=\frac{49\sqrt{3}}{4}\approx 21.22$

Therefore the area of triangle is $\frac{49\sqrt{3}}{4}$ cm² or 21.22 cm².