Understanding Area of Plane Figures

A circular park of $20 \mathrm{m}$ diameter has a circular path just inside the boundary of width $1 \mathrm{m}$. What is the area of the path?

$ABCD$ is such a trapezium, in which $AB = CD$ and $AD \left|\right| BC$C. Also $AD = 5 \mathrm{cm}$ and $BC = 9 \mathrm{cm}$, if the area of $ABCD$ is $35 {\mathrm{cm}}^2$ then what will be the length of$CD$ ?

There is a square park with sides $20 \mathrm{m}$, and there are $2$ diagonal paths that are $2 \mathrm{m}$ wide. Find the area of the park without the paths.

How many triangles are there in the given figure?

From a rectangular metal sheet of sides $25 \mathrm{cm}$ and $20 \mathrm{cm}$, a circular sheet as large as possible is cut off. What is the area of the remaining sheet?

A parallelogram with sides of equal length is called______________.

Area of an equilateral triangular region of side $10$ $m$ is?

Three congruent circles each of radius$4 \mathrm{cm}$ touch one another. What is the area $(\mathrm{in} {\mathrm{cm}}^2)$of the portion included between them?

What is the height of a solid cylinder of radius $5$ cm and total surface area is $660$ sq cm?

The total area of a circle and a square is equal to $2611 {\mathrm{cm}}^2.$ The diameter of the circle is$42 \mathrm{cm}$. What is the sum of the circumference of the circle and the perimeter of the square?

Study the diagram and answer the questions that follow.

What is the value of Y

Find the perimeter of (a) $∆ABE$, (b) rectangle $BCDE$ in the given figure. Whose perimeter is greater?

If a rectangular park having the length of $250 \mathrm{cm}$ and breadth of $240 \mathrm{cm}$, what is its area and the distance athlete covers the rectangular park if he runs around it five times?

Find the area of the shaded portion of the given rectangle.

Two semicircles of diameter $8 \mathrm{cm}$ each are stuck together to form the given figure below. Find the perimeter of the figure.

In the adjoining figure the length of the rectangle is $28$. Find the area of shaded region

In the given figure $∆LMN$ is an equilateral triangle and $\square MNOP$ is a square. The semicircle whose diameter $OP$ has a radius $14 \mathrm{cm}$. What is the area of the figure? $\sqrt{3}=1.73$

Find the area of shaded region.

$∆ABC$ is right angled at $A$. Semicircles are drawn on $AB, AC,$ and $BC$ as diameters. It is given $AB=3 \mathrm{cm}$, $AC=4 \mathrm{cm}$. Find the area of shaded region.

$C$ is the centre of the circle with radius $BC=21 cm$.

 $ABC$is an isosceles right triangle.

Calculate the area of the triangle outside the circular region? $\left(\mathrm{Use}: \mathrm{\pi }=3.14\right)$