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If the area of a sector of the circle of radius 18 cm is 72π cm2, then the angle q is :
- a)80°
- b)70°
- c)90°
- d)60°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the area of a sector of the circle of radius 18 cm is 72πcm2, th...
Here, r = 18 cm and area of sector = 72 π
cm2
cm2
Most Upvoted Answer
If the area of a sector of the circle of radius 18 cm is 72πcm2, th...
To find the area of a sector of a circle, you need to know the measure of the central angle of the sector. The formula for the area of a sector is:
Area = (θ/360) * π * r^2
Where:
- Area is the area of the sector
- θ is the measure of the central angle of the sector
- π is a constant approximately equal to 3.14159
- r is the radius of the circle
In this case, if the area of the sector is 72 square cm, we can set up the equation:
72 = (θ/360) * π * (18)^2
To solve for θ, multiply both sides of the equation by (360/π)*(1/(18)^2):
θ = (72 * 360) / (π * 18^2)
θ ≈ 180 degrees
So, the measure of the central angle of the sector is approximately 180 degrees.
Area = (θ/360) * π * r^2
Where:
- Area is the area of the sector
- θ is the measure of the central angle of the sector
- π is a constant approximately equal to 3.14159
- r is the radius of the circle
In this case, if the area of the sector is 72 square cm, we can set up the equation:
72 = (θ/360) * π * (18)^2
To solve for θ, multiply both sides of the equation by (360/π)*(1/(18)^2):
θ = (72 * 360) / (π * 18^2)
θ ≈ 180 degrees
So, the measure of the central angle of the sector is approximately 180 degrees.
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If the area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. 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 area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. 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 area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. Can you explain this answer?.
If the area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. 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 area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. 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 area of a sector of the circle of radius 18 cm is 72πcm2, then the angle q is :a)80°b)70°c)90°d)60°Correct answer is option 'A'. Can you explain this answer?.
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