Question 1 : A wire bent in the form of a circle of radius $42 cm$ is cut and again bent in the form of a square. The ratio of the regions enclosed by the circle and the square in the two cases, is given by

Question 2 : The triangle formed by BC = AC = 8.2 cm and$\displaystyle \angle C=90^{\circ}$ is__

Question 3 : If the circumference and the area of a circle are numerically equal, then what is the numerical value of the diameter?

Question 4 : If the area of the circle be $ \displaystyle 154 cm^{2},$ then its radius is equal to:

Question 5 : If the area of two similar triangles ABC and PQR are 49 $\displaystyle cm^{2}$ and 36$\displaystyle cm^{2}$ respectively and altitude of the first triangle is 2.1 cm then altitude of the second triangle is<br>

Question 6 : A square and a rectangular plot of land have same perimeter. If the square is of side $40m$ and rectangle is of length $5$ decameter. Then area of rectangle is _______ .

Question 8 : Each side of a square field measures $85m$. The distance covered by a man going around the field $5$ times is _______ .

Question 9 : The length of a rectangle is $\left( \cfrac { 6 }{ 5 } \right) $th of its breadth. It its perimeter is $132m$, its area will be ______ .

Question 10 : If arcs of same length in two circles subtend angles of $60^{\circ}$ and $75^{\circ}$ at their center, find the ratios of their radii.<br>

Question 11 : An equilateral triangle has area $A\sqrt3$. Three circles are drawn with their centres at the vertices of the triangle. Diameter of each circle is equal to the length of each side of the triangle. The area of the triangle NOT included in any of the three circles is

Question 12 : A circular wire of radius 1 dm is cut and is placed along the circumference of a circle of radius of one metre. The angle subtended by the wire at the centre of the circle is equal to

Question 13 : Find the area of a circular park whose circumference is $22$m.

Question 14 : A rectangular field has a length $10$ feet more than it is width. If the area of the field is $264$, what is the width of the rectangular field?<br/>

Question 15 : Two sides of a triangle are $13 cm$ and $14 cm$ and its semi-perimeter is $18 cm$. Then, the third side of the triangle is:<br/>

Question 16 : Find the area of a triangle ABC whose vertices are A(-2 ,2) B(5 ,2) and whose centroid is (1 , 3)

Question 17 : If circle R, of area 4 square inches, radius of circle S is twice of circle R, then the area&#160;of circle S, in square inches, is

Question 19 : A circle of radius x has an area twice that of a square of side a. The equation used to find the radius ofthe circle is

Question 20 : Find the area of the circle if the area of an isosceles right triangle inscribed in it is 18&#160;$\displaystyle cm^{2}$

Question 21 : A parallelogram has sides $30 m, 70 m$ and one of its diagonals is $80 m$ long. Its area will be

Question 22 : A boy walks diagonally across a square lot. What percent does he save by not walking along the edges(approximately)?

Question 23 : The perimeter of an isosceles triangle is $32cm$ and each of the equal sides is $5/6$ times of the base. What is the area (in ${cm}^{2}$) of the triangle?

Question 24 : The diameters of two wheels are $10$ in. and $14$ in. The smaller makes $50$ more revolutions than the&#160;larger in going a certain distance. This distance, in inches, is

Question 26 : If $a=i+j+k, b=i+3j+5k$ and $ c=7i+9j+11k$, then the area of&#160;Parallelogram having diagonals a+b&#160;and&#160;b+c&#160;is.<br/>

Question 27 : The cost of fencing a circular field at the rate of Rs 12 per meter is Rs 1320 The field is to be ploughed at Rs 2 per $\displaystyle m^{2}$ then of ploughing is $\displaystyle \left ( \pi =\frac{22}{7} \right )$<br/>

Question 28 : The apothem of a square having its area numerically equal to its perimeter is compared with the apothem of an equilateral triangle having its area numerically equal to its perimeter. The first apothem will be:

Question 29 : The perimeter of a sector is a constant. If its area is to be maximum, then the sectorial angle is

Question 30 : If the error in the radius of a circle is $0.2$ then the relative error in its area is