A chord of a circle subtends an angle of $60°$ at the centre. If the length of the chord is $12 \mathrm{cm}$, find the area of the two segments into which the chord divides the circle (take $\mathrm{\pi }=3.14$ and $\sqrt{3}=1.73$)

A grass field is in the form of an equilateral triangle of sides $48 \mathrm{m}$. A cow can tethered at a vertex of the field. If the cow can reach upto $21 \mathrm{m}$ from the vertex, find the area of the part of the field in which the cow can graze.

A grass field is in the form of an equilateral triangle of sides $48 \mathrm{m}$. A cow can tether at a vertex of the field. If the cow can reach up to $21 \mathrm{m}$ from the vertex, find how much area remains ungrazed. (Correct upto two decimal places)

A grass field is in the form of an equilateral triangle of sides $48 \mathrm{m}$. A cow can tether at a vertex of the field. If the cow can reach up to $21 \mathrm{m}$ from the vertex, find the increase in grazing area if the length of the rope be increased to $35 \mathrm{m}$. (use $\mathrm{\pi }=3.14$)

A circle circumscribes a rectangle of sides $8 \mathrm{cm}$ and $6 \mathrm{cm}$. FInd the area enclosed between the circle and the rectangle.

An equilateral triangle is inscribed in a circle of radius $14 \mathrm{cm}$. Find the area between the circle and the triangle. (use $\sqrt{3}=1.73$)

A circle is inscribed in an equilateral triangle of sides $18 \mathrm{cm}$. Find the area between the triangle and the circles (correct up to two decimal places). (take $\sqrt{3}=1.73$)

$ABC$ is an equilateral triangle of side $12 \mathrm{cm}$ in which three circular arcs, each of radius $6 \mathrm{cm}$, are drawn with centre $A,B,C$. Find the area of the region enclosed by the circular arcs. (take $\sqrt{3}=1.73$)

Four cows are tethered at the four corners of a square field of side $56 \mathrm{m}$ so that consecutive cows just reach each other. What area of the field remains ungrazed?