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Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths PDF Download

Area of Circles

Exercise 1

Question: 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.

Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

Question: 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.

Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

Question: 3. Following 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 each of the five scoring regions.

Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths
Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

Question: 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?

Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

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

(A) 2 units (B) π units (C) 4 units (D) 7 units

Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

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FAQs on Exercise 1 - Chapter 12 - Areas Related to Circles, Class 10, Maths

1. What is the formula to calculate the area of a circle?
Ans. The formula to calculate the area of a circle is A = πr², where A represents the area and r represents the radius of the circle.
2. How do you find the circumference of a circle?
Ans. The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle.
3. Can the area of a circle be negative?
Ans. No, the area of a circle cannot be negative. The area is always a positive value representing the amount of space enclosed by the circle.
4. What is the relationship between the diameter and the radius of a circle?
Ans. The diameter of a circle is twice the length of its radius. In other words, the diameter is equal to 2 times the radius.
5. How can the area of a sector of a circle be calculated?
Ans. The area of a sector of a circle can be calculated using the formula A = (θ/360)πr², where A represents the area, θ represents the central angle of the sector, and r represents the radius of the circle.
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