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Test: Areas Related to Circles - 1 - Class 10 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Areas Related to Circles - 1

Test: Areas Related to Circles - 1 for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Test: Areas Related to Circles - 1 questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Areas Related to Circles - 1 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Areas Related to Circles - 1 below.
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Test: Areas Related to Circles - 1 - Question 1

If the area of a circle is 154 cm2, then its perimeter is

Detailed Solution for Test: Areas Related to Circles - 1 - Question 1

 Given area of circle=154
      ⇒area of circle=πr²
                             =22/7 ×7×7.
                             =154 
so radius of the circle=7cm
 perimeter of circle=2πr
                           =2 ×22/7×7
                           =44cm
⇒perimeter of the circle=44 cm.

Test: Areas Related to Circles - 1 - Question 2

The radii of two circles are 4 cm and 3 cm respectively. The diameter of the circle having area equal to the sum of the areas of the two circles (in cm) 

Detailed Solution for Test: Areas Related to Circles - 1 - Question 2

Test: Areas Related to Circles - 1 - Question 3

If the circumference of a circle and the perimeter of a square are equal, the

Test: Areas Related to Circles - 1 - Question 4

The perimeter (in cm) of a square circumscribing a circle of radius a cm, is

Detailed Solution for Test: Areas Related to Circles - 1 - Question 4

Side of a square circumscribing a circle of radius a cm = diameter of circle = 2a cm
∴ Perimeter of the square = 4 x 2a = 8a cm

Test: Areas Related to Circles - 1 - Question 5

The perimeter of a circle is equal to that of a square, then the ratio of their areas is​

Test: Areas Related to Circles - 1 - Question 6

If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is

Detailed Solution for Test: Areas Related to Circles - 1 - Question 6

 πr2 - 2πr x 2 ⇒ r = 4 ⇒ 2r = 8 units

Test: Areas Related to Circles - 1 - Question 7

The area of the circle that can be inscribed in a square of side 6 cm is

Test: Areas Related to Circles - 1 - Question 8

The diameter of a wheel is 1.26 m. The distance travelled in 500 revolutions is

Detailed Solution for Test: Areas Related to Circles - 1 - Question 8

Radius of the wheel = 1.26/2 = 0.63 m
Distance travelled in one revolution

∴ Distance travelled in 500 revolutions
= 500 x 3.96 = 1980 m

Test: Areas Related to Circles - 1 - Question 9

The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is​

Detailed Solution for Test: Areas Related to Circles - 1 - Question 9

Diameter of first circle = d1 = 36 cm
Diameter of second circle = d2 = 20 cm
∴ Circumference of first circle = πd1 = 36π cm
Circumference of second circle = πd2 = 20π cm
Now, we are given that,
Circumference of circle = Circumference of first circle + Circumference of second circle
πD = πd1 + πd2
⇒ πD = 36π + 20π
⇒ πD = 56π ⇒ D = 56
⇒ Radius = 56/2 = 28 cm

Test: Areas Related to Circles - 1 - Question 10

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

Detailed Solution for Test: Areas Related to Circles - 1 - Question 10

2π R1 + 2πR2 = 2πR
⇒ R1 + R2 = R.

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