Maharashtra Board Solutions for Chapter: Angle and its Measurement, Exercise 3: MISCELLANEOUS EXERCISE - 1

Two circles, each of radius $7$ cm, intersect each other. The distance between their centres is $7\sqrt{2}$ cm. Find the area common to both the circles.

A wire of length $10$ cm is bent so as to form an arc of a circle of radius $4$ cm. The angle subtended at the centre in degree is $\frac{k}{\mathrm{\pi }}$, then find the value of $k$.

If two arcs of the same length in two circles subtend angles $65°$ and $110°$ at the centre. Find the ratio of their radii

The area of a circle is $81\mathrm{\pi } \mathrm{sq} \mathrm{cm}$. Find the length of the arc subtending an angle of $300°$ at the centre and also the area of the corresponding sector.

Show that minute hand of a clock gains $5°30"$on the hour hand in one minute.

A train is running on a circular track of radius $1$ km at the rate of $36$ km per hour. Find the angle to the nearest minute, through which it will turn in $30$ seconds.

In a circle of diameter$40 \mathrm{cm}$, the length of a chord is $20 \mathrm{cm}$. If the length of minor arc of the chord is $\frac{k\mathrm{\pi }}{3} \mathrm{cm}$, then find the value of $\frac{k}{2}$.

The angles of a quadrilateral are in A.P. and the greatest angle is double the least. Find angles of the quadrilateral in radian.