Neha Tyagi and Amit Rastogi Solutions for Chapter: Areas Related to Circles, Exercise 4: Exercise

An archery target has three regions formed by three concentric circles as shown in figure. If the diameters of concentric circles are in the ratio $1:2:3,$then find the ratio of the areas of three regions.

The length of the minute hand of a clock is $5 \mathrm{cm}$. Find the area swept by the minute hand during the time period $6:05 \mathrm{am} \mathrm{and} 6:40 \mathrm{am}$.

Area of a sector of central angle $200°$ of a circle is $770 {\mathrm{cm}}^2$. Find the length of the corresponding arc of this sector.

The central angles of two sectors of circles of radii $7 \mathrm{cm}$ and $21 \mathrm{cm}$ are respectively $120°$ and $40°$. Find the areas of the two sectors as well as the lengths of the corresponding arcs. What do you observe?

Find the area of the shaded region given in the figure.

Find the number of revolutions made by a circular wheel of area $1.54 m^2$ in rolling a distance of $176 \mathrm{m}$.

Find the difference of the areas of two segments of a circle formed by a chord of length $5 \mathrm{cm}$ subtending an angle of $90°$ at the centre.

Find the difference of the areas of a sector of angle $120°$ and its corresponding major sector of a circle of radius $21 \mathrm{cm}$