NCERT Solutions for Class 10 Maths Exercise 12.1

NCERT Solutions for Class 10 Maths Exercise 12.1 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Area Related to Circles Download as PDF

NCERT Solutions for Class 10 Maths Area Related to Circles

Unless stated otherwise, take

1. The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.

Ans. Let R be the radius of the circle which has circumference equal to the sum of circumferences of the two circles, then according to question,

R = 19 + 9

R = 28 cm

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NCERT Solutions for Class 10 Maths Exercise 12.1

2. The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Ans. Let R be the radius of the circle which has area equal to the sum of areas of the two circles, then

According to the question,

R² = 64 + 36

R² = 100

R = 10 cm

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NCERT Solutions for Class 10 Maths Exercise 12.1

3. Figure depicts an archery target marked with its five scoring areas from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of the five scoring regions.

Ans. Gold: Diameter = 21 cm

Radius = cm

Area of gold scoring region =

= = 346.5 cm²

Red: Area of red scoring region =

=

=

= 1386 – 346.5 =

Blue: Area of blue scoring region =

=

=

= 3118.5 – 1386 =

Black: Area of black scoring region =

=

=

= 5544 – 3118.5 =

White: Area of white scoring region =

=

=

= 8662.5 – 5544 =

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NCERT Solutions for Class 10 Maths Exercise 12.1

4. The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?

Ans. Diameter of wheel = 80 cm

Radius of wheel = 40 cm

Distance covered by wheel in one revolution = = = cm

Distance covered by wheel in 1 hour = 66 km = 66000 m = 6600000 cm

Distance covered by wheel in 10 minutes = = 1100000 cm

No. of revolutions =

= = 4375

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NCERT Solutions for Class 10 Maths Exercise 12.1

5. Tick the correct answer in the following and justify your choice: If the perimeter and area of a circle are numerically equal, then the radius of the circle is:

(A) 2 units

(B) units

(C) 4 units

(D) 7 units

Ans. (A) Circumference = Area

= 2 units

NCERT Solutions for Class 10 Maths Exercise 12.1

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