Long Answer Questions: Areas Related to Circles

# Class 10 Maths Chapter 11 Question Answers - Areas Related to Circles

Q1: From a thin metallic piece, in the shape of a trapezium ABCD in which AB ¦¦ CD and ∠BCD = 90°, a quarter circle BFEC is removed (See figure). Given AB = BC = 3.5 cm and DE = 2 cm, calculate the area of the remaining (shaded) part of the metal sheet.
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Q2: Find the area of the shaded region in given figure, where ABCD is a square of side 28 cm.
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Q3: In given figure, an equilateral triangle has been inscribed in a circle of radius 6 cm. Find the area of the shaded region.
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Q4: In the given figure, three circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two. Find the area of shaded region enclosed between these three circles.
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Q5: Find the area of shaded region in figure,where arcs drawn with centres A, B, C and D intersects at mid point P, Q, R and S of sides AB, BC, CD and DA of a square ABCD, where the length of each side of square is 14 cm.
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Q6: The length and breadth of a rectangular piece of paper are 28 cm and 14 cm respectively. A semi-circular portion is cut off from the breadth’s side and a semicircular portion is added on length’s side, as shown in figure. Find the area of shaded region.
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Q7: In figure, arcs are drawn by taking vertices A, B and C of an equilateral triangle ABC of side 14 cm as centres to intersect the sides BC, CA and AB at their respective mid-point D, E and E Find the area of the shaded region.
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Q8: In Figure, PQRS is a square lawn with side PQ = 42 metres. Two circular flower beds are there on the sides PS and QR with centre at O, the intersection of its diagonals. Find the total area of the two flower beds (shaded parts).
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Q9: An elastic belt is placed around the rim of a pulley of radius 5 cm. From one point C on the belt, the elastic belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from the point O. Find the length of the belt that is still in contact with the pulley.Also find the shaded area, (use π = 3.14 and √3 = 1.73)

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Q10: In figure, is shown a sector OAP of a circle with centre O, containing Z0. AB is perpendicular to the radius OA and meets OP produced at B. Prove that the perimeter of shaded region is r[tanθ + secθ + πθ/180 - 1]
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The document Class 10 Maths Chapter 11 Question Answers - Areas Related to Circles is a part of the Class 10 Course Mathematics (Maths) Class 10.
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## Mathematics (Maths) Class 10

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## FAQs on Class 10 Maths Chapter 11 Question Answers - Areas Related to Circles

 1. What is the formula to find the area of a circle?
Ans. The formula to find the area of a circle is A = πr², where A represents the area and r represents the radius of the circle.
 2. How is the circumference of a circle related to its radius?
Ans. The circumference of a circle is directly proportional to its radius. The formula to find the circumference is C = 2πr, where C represents the circumference and r represents the radius.
 3. Can the area of a circle be calculated using the diameter instead of the radius?
Ans. Yes, the area of a circle can be calculated using the diameter instead of the radius. The formula for this is A = (π/4)d², where A represents the area and d represents the diameter of the circle.
 4. How can the radius of a circle be found if only the area is given?
Ans. To find the radius of a circle if only the area is given, we can rearrange the formula for the area of a circle as r = √(A/π), where r represents the radius and A represents the area of the circle.
 5. How can the circumference of a circle be found if only the area is given?
Ans. It is not possible to find the exact circumference of a circle if only the area is given. The circumference depends on both the radius and the area, so without knowing the radius, we cannot determine the circumference accurately.

## Mathematics (Maths) Class 10

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