Disha Expert Team Solutions for Chapter: Mensuration Plane Figures, Exercise 1: Exercise

A circle and a rectangle have the same perimeter. The sides of the rectangle are $18 cm$ and $26 cm$. What is the area of the circle?

If every side of a triangle is doubled, then increase in area of the triangle is:

$ABCD$ is a square in which $∆OBC$ is an equilateral triangle, then find $\angle DOA$?

In the given figure, $AB$ is a line of length $2a$, with $M$as mid-point. Semi-circles are drawn on one side with $AM$ and $AB$ as diameters. A circle with centre $O$ and radius $r$ is drawn such that this circle touches all the three semi-circles. What is the value of $r$?

Three circles with centres A, B and C and with unit radii touch each other at O, P and Q. Find the area of the shaded region?

ABCD is a square, $4$ equal circles are just touching each other whose centres are the vertices A, B, C, D of the square. What is the ratio of the shaded to the unshaded area withinsquare?

$ABCDEF$ is a regular hexagon of side $6 \mathrm{cm}.$ What is the area of triangle $BDF?$

A circle is inscribed in an equilateral triangle of side $a$. What is the area of any square inscribed in this circle?