Archives

Area of a circle with diameter ‘m’ radius ‘n’ and circumference ‘p’ is (a) 2πn (b) πm² (c) πp² (d) πn²

The correct answer is (d) πn2 Solution Circumference of the circle or perimeter of the circle is the measurement of the boundary of the... View Article

Area of circular garden with diameter 8 m is (a) 12.56 m² (b) 25.12 m² (c) 50.24 m² (d) 200.96 m²

The correct answer is (c) 50.24 m2 Solution We know that, area of circle = πr2 Diameter = 8m Then, radius = 8m/2 Radius = 4 m So, area =... View Article

Length of tape required to cover the edges of a semicircular disc of radius 10 cm is (a) 62.8 cm (b) 51.4 cm (c) 31.4 cm (d) 15.7 cm

The correct answer is (b) 51.4 cm Solution From the given details we note that, Radius of semicircular disc 10 cm We know that,... View Article

Circumference of a circle disc is 88 cm. Its radius is (a) 8 cm (b) 11 cm (c) 14 cm (d) 44 cm

The correct answer is (c) 14 cm Solution From the given details we note that, Circumference of a circle = 2πr 88 = 2 × (22/7)... View Article

Circumference of a circle of diameter 5 cm is (a) 3.14 cm (b) 31.4 cm (c) 15.7 cm (d) 1.57 cm

The correct answer is (c) 15.7 cm Solution From the given details we note that, diameter = 5 cm Radius = diameter/2 Radius = 5/2 = 2.5... View Article

Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is (a) 14 cm (b) 13 cm (c) 12 cm (d) 11cm

The correct answer is (b) 13 cm Solution From the given details we note that, We know that, area of triangle = ½... View Article

In figure ∆ MNO is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is (a) 4.8 cm (b) 3.6 cm (c) 2.4 cm (d) 1.2 cm

The correct answer is (a) 4.8 cm Solution From the given details we note that, ∆ MNO is a right-angled triangle, its legs are 6 cm and... View Article

In figure if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is (a) 6 cm (b) 9 cm (c) 4 cm (d) 2 cm

The correct answer is (c) 4 cm Solution From the given details we note that, PR = 12 cm QR = 6 cm PL = 8 cm From Pythagoras theorem... View Article

Area of triangle PQR is 100 cm2 (figure). If altitude QT is 10 cm, then its base PR is (a) 20 cm (b) 15 cm (c) 10 cm (d) 5 cm

The correct answer is (a) 20 cm Solution We know that, area of triangle = ½ × base × height From the given details we... View Article

Circumference of a circle is always (a) more than three times of its diameter (b) three times of its diameter (c) less than three times of its diameter (d) three times of its radius

The correct answer is (a) more than three times of its diameter Solution The different methods to calculate the diameter of a circle are shown... View Article

In reference to a circle the value of π is equal to (a) area/circumference (b) area/diameter (c) circumference/diameter (d) circumference/radius

The correct answer is (c) circumference/diameter Solution We know that, circumference of circle = 2πr Then, π = circumference/2r... View Article

In figure EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4cm respectively. If EF = 10 cm, then area of EFGH is (a) 20 cm2 (b) 32 cm2 (c) 40 cm2 (d) 80 cm2

The correct answer is (c) 40 cm2 Solution From the figure we observe that Let us consider the parallelogram EFGH, EF = HG = 10 cm …... View Article

Ratio of areas of ∆MNO, ∆MOP and ∆MPQ in figure is (a) 2 : 1 : 3 (b) 1 : 3 : 2 (c) 2 : 3 : 1 (d) 1 : 2 : 3

The correct answer is (a) 2 : 1 : 3 Solution From the formula we know that, area of triangle = 1/2 (base × height) So, area of... View Article

Ratio of area of ∆MNO to the area of parallelogram MNOP in the same figure 9.17 is (a) 2 : 3 (b) 1 : 1 (c) 1 : 2 (d) 2 : 1

The correct answer is (c) 1 : 2 Solution From the formula we know that, area of triangle = 1/2 (base × height) Area of ∆MNO =... View Article

Area of triangle MNO of figure is (a) ½ MN × NO (b) ½ NO × MO (c) ½ MN × OQ (d) ½ NO × OQ

The correct answer is (d) ½ NO × OQ Solution MNO is a triangle. From the formula we know that, area of triangle = ½... View Article

Area of parallelogram ABCD (figure) is not equal to (a) DE × DC (b) BE × AD (c) BF × DC (d) BE × BC

The correct answer is (a) DE × DC Solution From the formula area of parallelogram = base × corresponding height Then, area of... View Article

Area of shaded portion in figure is (a) 25 cm² (b) 15 cm² (c) 14 cm² (d) 10 cm²

The correct answer is (d) 10 cm2 Solution From the given details we observe that The dimensions of rectangle Length of rectangle = 5 cm... View Article

Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14cm × 11 cm, then radius of the circle is (a) 21 cm (b) 10.5 cm (c) 14 cm (d) 7 cm.

The correct answer is (d) 7 cm Solution From the given details we observe that The dimensions of rectangle length = 14 cm, breadth = 11 cm... View Article

Area of the circle obtained in Question 4 is (a) 196 cm² (b) 212 cm² (c) 616 cm² (d) 644 cm²

The correct answer is (c) 616 cm2 Solution We know that, area of the circle = πr2 = (22/7) × 14 × 14 = 22 × 14 × 2... View Article

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is (a) 22 cm (b) 14 cm (c) 11 cm (d) 7 cm

The correct answer is (b) 14 cm Solution From the given details we note that The side of square is 22 cm. The perimeter of a square and... View Article