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If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :
- a)2.5 cm2
- b)4.5 cm2
- c)5.5 cm2
- d)3.5 cm2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the radius of a circle with centre O is 3.5 cm and two radii OA and...
Here,
r = 3.5 cm, θ = 90°
r = 3.5 cm, θ = 90°
∴ Area of minor segment
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If the radius of a circle with centre O is 3.5 cm and two radii OA and...
Given, radius of circle with center O is 3.5 cm and two radii OA and OB are drawn at right angles to each other.
To find out the area of minor segment, we need to find out the area of the sector and the area of the triangle.
Area of the sector:
The angle of the sector is 90° since the two radii are at right angles to each other. Therefore, the angle at the center of the circle is also 90°.
Area of sector = (angle of sector/360°) x πr²
= (90/360) x π x (3.5)²
= 0.25 x 3.14 x 12.25
= 0.25 x 38.465
= 9.61625 cm²
Area of the triangle:
The two radii and the chord AB form an isosceles right triangle.
Therefore, the area of the triangle is given by:
Area of triangle = 0.5 x base x height
= 0.5 x 3.5 x 3.5
= 6.125 cm²
Area of minor segment:
Area of minor segment = Area of sector - Area of triangle
= 9.61625 - 6.125
= 3.49125 cm²
≈ 3.5 cm²
Hence, the answer is option D, 3.5 cm².
To find out the area of minor segment, we need to find out the area of the sector and the area of the triangle.
Area of the sector:
The angle of the sector is 90° since the two radii are at right angles to each other. Therefore, the angle at the center of the circle is also 90°.
Area of sector = (angle of sector/360°) x πr²
= (90/360) x π x (3.5)²
= 0.25 x 3.14 x 12.25
= 0.25 x 38.465
= 9.61625 cm²
Area of the triangle:
The two radii and the chord AB form an isosceles right triangle.
Therefore, the area of the triangle is given by:
Area of triangle = 0.5 x base x height
= 0.5 x 3.5 x 3.5
= 6.125 cm²
Area of minor segment:
Area of minor segment = Area of sector - Area of triangle
= 9.61625 - 6.125
= 3.49125 cm²
≈ 3.5 cm²
Hence, the answer is option D, 3.5 cm².
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If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer?.
If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer?.
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If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If the radius of a circle with centre O is 3.5 cm and two radii OA and OB are drawn at right angles toeach other, then the area of minor segment is :a)2.5 cm2b)4.5 cm2c)5.5 cm2d)3.5 cm2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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