Area Related to...

Out of the following shapes having equal perimeters, which is the one having the largest area :

A chord of a circle of radius $$7$$ cm. subtends an angle of $$90^o$$ at its centre. The ratio of areas of smaller and larger segment is

A sector of $$120^{\circ}$$ cut out from a circle has an area of $$9\displaystyle \frac {3}{7}$$ sq cm. The radius of the circle is

A figure shows a trapezium $$ABCD$$ with two circles of equal diameter drawn in it. If $$ON=56\;cm$$ and $$PM\;\bot\;BC\,,\ \,PM=42\;cm,\;AD=30\;cm$$ and $$BC=64\;cm$$. Find the area of the shaded region.

A chord of a circle of radius $$12$$cm subtends an angle of $$60^o$$ at the centre. Find the area of the corresponding segment of the circle. (Use $$\pi=3.14$$ and $$\sqrt 3=1.73$$).

A rectangular sheet of acrylic is 50 cm by 25 cm . From it 60 circular buttons, each of diameter 2.8 cm have been cut out. The area of the remaining sheet is

A chord AB of circle of radius $$14 cm$$ makes an angle of $$\displaystyle 60^{\circ} $$ at the centre of the circle .The area of the minor segment of the circle is
(Use $$\displaystyle \pi =\frac{22}{7} $$)

ABCD is a flower bed. If $$OA=21cm$$ and $$OC=14m$$, find the area of the bed.        [Use $$\pi=\displaystyle\frac{22}{7}$$]

It is proposed to add to a square lawn with each side 58 m two circular ends the centre of each circle being the point of intersection of the diagonals of the square the area of the whole lawn is

The area of an equilateral triangle is $$49\sqrt 3cm^2$$. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in figure. Find the area of the triangle not included in the circle.       [Take $$\sqrt 3=1.73$$]