Question

A child prepare a porter on 'save water' on a triangular sheet whose each side measure. 50 cm. At each corner of the sheet, he draws an arc of radius 10 cm in which he shows how, to save the water. At the centre of the triangle, draw a circle of radius 6 cm, where he write the slogan "Save water".

() Find the area of the triangle sheet. () Find the area of poster, in which the slogan 'Save water' is written.

() Find the total area of the corner, when he define, how to save the water. (iv) Find the area of the remaining sheet.

Answer 1

Answer:

(i) $625\sqrt{3}$$cm^{2}$

(ii) $113 cm^{2}$

I don't know the answer to the rest.

Step-by-step explanation:

(i) We know that,

area of equilateral triangle =

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

Substituting a with 50cm, we get,

$\frac{\sqrt{3} * 50 * 50}{4}$

Upon cancelling, we get,

$\sqrt{3} * 25 * 25$

= $625\sqrt{3}$ sq. cm

(ii) We know that,

area of circle = $\pi r^{2}$

Substituting r with 6, we get,

$\frac{22}{7} * 6 * 6$

= $\frac{22 * 36}{7}$

= $\frac{792}{7}$

= $113.14cm^{2}$