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The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is
- a)130.95 cm2
- b)120 cm2
- c)125.5 cm2
- d)100 cm2
Correct answer is option 'A'. Can you explain this answer?
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To find the area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M, we need to calculate the sector area formed by the minute hand.
The minute hand of a clock completes a full circle in 60 minutes, which is 360 degrees. Therefore, in 1 minute, the minute hand moves 360 degrees / 60 minutes = 6 degrees.
Let's calculate the angle covered by the minute hand from 8 A.M to 8.25 A.M:
From 8 A.M to 9 A.M, the minute hand covers 60 minutes * 6 degrees/minute = 360 degrees.
From 8 A.M to 8.25 A.M, the minute hand covers 25 minutes * 6 degrees/minute = 150 degrees.
The radius of the clock face is given as 10 cm. The area of a sector is given by the formula:
Area = (angle/360 degrees) * π * r^2
where angle is the central angle of the sector and r is the radius.
Let's substitute the values into the formula:
Area = (150 degrees/360 degrees) * π * (10 cm)^2
= (5/12) * π * 100 cm^2
≈ 130.95 cm^2
Therefore, the area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is approximately 130.95 cm^2.
Hence, the correct answer is option 'A' - 130.95 cm^2.
The minute hand of a clock completes a full circle in 60 minutes, which is 360 degrees. Therefore, in 1 minute, the minute hand moves 360 degrees / 60 minutes = 6 degrees.
Let's calculate the angle covered by the minute hand from 8 A.M to 8.25 A.M:
From 8 A.M to 9 A.M, the minute hand covers 60 minutes * 6 degrees/minute = 360 degrees.
From 8 A.M to 8.25 A.M, the minute hand covers 25 minutes * 6 degrees/minute = 150 degrees.
The radius of the clock face is given as 10 cm. The area of a sector is given by the formula:
Area = (angle/360 degrees) * π * r^2
where angle is the central angle of the sector and r is the radius.
Let's substitute the values into the formula:
Area = (150 degrees/360 degrees) * π * (10 cm)^2
= (5/12) * π * 100 cm^2
≈ 130.95 cm^2
Therefore, the area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M is approximately 130.95 cm^2.
Hence, the correct answer is option 'A' - 130.95 cm^2.
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The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer?
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The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer?.
The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The minute hand of a clock is 10 cm long. The area of the face of the clock described by the minute hand between 8 A.M and 8.25 A.M isa)130.95 cm2b)120 cm2c)125.5 cm2d)100 cm2Correct answer is option 'A'. Can you explain this answer?.
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