If the area of a triangle whose base is 6, cm | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The radius of the circle is $r = 6\, cm$.The area of the circle is given by the formula $A = \pi r^2$.$A = \pi 	imes (6)^2 = 36\pi\, cm^2$.Let th

Vedclass · Accepted Answer

$12\pi$

Vedclass · Answer

(C) The radius of the circle is $r = 6\, cm$.The area of the circle is given by the formula $A = \pi r^2$.$A = \pi 	imes (6)^2 = 36\pi\, cm^2$.Let the height of the triangle be $h\, cm$ and the base be $b = 6\, cm$.The area of the triangle is given by $\frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$.According to the problem,the area of the triangle is equal to the area of the circle:$\frac{1}{2} 	imes 6 	imes h = 36\pi$.$3 	imes h = 36\pi$.$h = \frac{36\pi}{3} = 12\pi\, cm$.

If the area of a triangle whose base is $6\, cm$ is equal to the area of a circle of radius $6\, cm$,then find the height of this triangle (in $cm$).

Similar Questions

Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of $9856 \, m^{2}$. (in $m$)

The ratio of the area of a sector of a circle to the area of the circle is $1:4$. If the area of the circle is $154 \, cm^2$,the perimeter of the sector is ........ $cm$.

What is the area of a given right-angled triangle?
$I.$ The length of the hypotenuse is $5\, cm$.
$II.$ The perimeter of the triangle is four times that of its base.
$III.$ One of the angles of the triangle is $60^{\circ}$.

$A$ circle and a rectangle have the same perimeter. The sides of the rectangle are $18 \text{ cm}$ and $26 \text{ cm}$. The area of the circle is .......... $\text{cm}^2$. [Take $\pi = \frac{22}{7}$]

If the area of a square is increased by $44 \%$,while retaining its shape as a square,by what percentage does each of its sides increase?

Vedclass Test Series

Exam Paper Generator

Online Exam Module