Areas Related to Circles
27 solved questions from Class 10 Mathematics, each with the full working. Tap any question to see the step-by-step solution.
- 1 A circular playground has radius 7 cm. Find the length of the arc subtended by a central angle of 60°. easy 1 mark Arc length
- 2 What is the circumference of a circle having radius 7 cm? easy MCQ 1 mark Circumference of a circle
- 3 A circle has radius 15 cm. Find the length of the arc subtended by a central angle of 120°, correct to two decimal places. medium 2 marks Length of an arc
- 4 The height of a circular segment is 6 cm and the radius of the circle is 13 cm. Find the area of the segment (correct to one decimal place). hard MCQ 4 marks Area of a circular segment
- 5 Two concentric circles have radii 9 cm and 4 cm. Find (i) the area of the ring formed between them, and (ii) the length of the arc of the outer circle corresponding to a central angle of 30°. medium 3 marks Area of ring and arc length of a circle
- 6 Find the area of a sector of a circle with radius 6 cm and central angle 60°. easy 2 marks Area of sector
- 7 What is the area of the sector of a circle with radius 5 cm and central angle 30°? easy MCQ 2 marks sector area
- 8 Find the circumference of a circle whose radius is 9 cm. Give your answer in centimeters. easy 1 mark circumference
- 9 In a circle of radius 10 cm, a chord subtends a central angle of 80°. Find the length of the chord. Give your answer correct to two decimal places. medium 2 marks chord length
- 10 What is the sum of all interior angles of a triangle? medium MCQ Angle Sum Property
- 11 What is the sum of interior angles of a quadrilateral? medium MCQ Polygon Angles
- 12 In a right triangle with legs 3 cm and 4 cm, find hypotenuse length. medium MCQ Pythagoras Theorem
- 13 How many tangents can be drawn to a circle from an external point? medium MCQ Tangents to Circle
- 14 What is the angle between a tangent and the radius at the point of contact? medium MCQ Tangent Properties
- 15 Two triangles are similar if their corresponding sides are in ____. medium MCQ Similar Triangles
- 16 Find the perimeter of a square with side length 6 cm. medium MCQ Perimeter of Square
- 17 What is the formula for area of a circle with radius r? medium MCQ Area of Circle
- 18 If diameter of a circle is 14 cm, what is its radius? medium MCQ Circle Definitions
- 19 State Pythagoras Theorem for a right-angled triangle. medium MCQ Pythagoras Theorem
- 20 What is the domain, range, or fundamental theorem introduced in 'Areas Related to Circles' (Class 10 Mathematics)? medium MCQ Functions & Theorems
- 21 What is the derivative or integral formula associated with 'Areas Related to Circles'? medium MCQ Calculus & Formulae
- 22 How do you find the solution set or optimum value in 'Areas Related to Circles'? medium MCQ Problem Solving & Optimization
- 23 What is the circumference of a circle whose radius is 14 cm? easy MCQ 1 mark Circumference formula
- 24 A circular park has radius 12 m. The park is to be surrounded by a fence. Find the length of the fence required, correct to two decimal places. medium 2 marks Circumference of a circle
- 25 Two concentric circles have radii 15 cm (outer) and 9 cm (inner). Find: (a) the area of the ring formed between them; (b) the length of the arc of the outer circle subtended by a central angle of 45°; (c) the length of the chord of the inner circle that subtends a central angle of 30°. Give all answers rounded to two decimal places. hard 4 marks Area of annulus, arc length, chord length
- 26 A circle has radius 8 cm. Find the area of the sector subtended by a central angle of 120°. Use π=22/7 and give the answer in square centimeters, rounded to one decimal place. easy 1 mark Area of a sector
- 27 In a circle of radius 12 cm, a chord subtends a central angle of 90°. Find the length of this chord. Give your answer in centimeters, rounded to two decimal places. medium 3 marks Chord length formula