Exercise 11.1 Archives

If the perimeter of a circle is equal to that of a square, then the ratio of their areas is (A) \[22:7\] (B) \[14:11\] (C) \[7:22\] (D) \[11:14\]

The correct option is (B) \[14:11\] Explanation: Let us take r as the radius of the circle and a as the side of the square. From the given question, Perimeter of a circle of radius r = Perimeter of...

Area of the largest triangle that can be inscribed in a semi-circle of radius r units is (A) \[{{r}^{2}}\] sq. units (B) \[\frac{1}{2}{{r}^{2}}\] sq. units (C) \[2{{r}^{2}}\] sq. units (D) \[\sqrt{2}{{r}^{2}}\] sq. units

The correct option is (A) \[{{r}^{2}}\] sq. units Explanation: The largest triangle which can be inscribed in a semi-circle of radius r units is Base of triangle should be equal to the diameter of...

If the circumference of a circle and the perimeter of a square are equal, then (A) Area of the circle = Area of the square (B) Area of the circle > Area of the square (C) Area of the circle < Area of the square (D) Nothing definite can be said about the relation between the areas of the circle & square.

The correction option is (B) Area of the circle > Area of the square Explanation: From the given question, Circumference of a circle of radius r = Perimeter of a square of side a Let us take r...

If the sum of the circumferences of two circles with radii \[R1\] and \[R2\] is equal to the circumference of a circle of radius \[R\], then (A) \[{{R}_{1}}+{{R}_{2}}=R\] (B) \[{{R}_{1}}+{{R}_{2}}>R\] (C) \[{{R}_{1}}+{{R}_{2}}<R\] (D) Nothing definite can be said about the relation among \[{{R}_{1}}\], \[{{R}_{2}}\] & \[R\].

The Correct option(A) \[{{R}_{1}}+{{R}_{2}}=R\] Explanation: From the given question, We got sum of the circumferences of two circles with radii \[R1\] and \[R2\] is equal to the circumference of a...

If the sum of the areas of two circles with radii \[R1\] and \[R2\] is equal to the area of a circle of radius \[R\], then (A) \[{{R}_{1}}+{{R}_{2}}=R\] (B) \[R_{1}^{2}+R_{2}^{2}={{R}^{2}}\] (C) \[{{R}_{1}}+{{R}_{2}}<R\] (D) \[R_{1}^{2}+R_{2}^{2}<{{R}^{2}}\]

The Correct option is (B) \[R_{1}^{2}+R_{2}^{2}={{R}^{2}}\] Explanation: From the given question, We got sum of the areas of two circles with radii \[R1\] and \[R2\] is equal to the area of a circle...

Sign up now and study all subjects for free

Class

Syllabus

Question Papers

Social Media

Apps