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A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?
- a)16.25
- b)19.25
- c)18.25
- d)17.25
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A slice from a circular pizza of diameter 14 inches is cut in a such a...
D = 14
R = D/2 = 14/2 =7
Area of each slice of Pizza =πr² * Θ/360°
= (22/7) * 7 * 7 * (45°/360°)
=19.25
R = D/2 = 14/2 =7
Area of each slice of Pizza =πr² * Θ/360°
= (22/7) * 7 * 7 * (45°/360°)
=19.25
Most Upvoted Answer
A slice from a circular pizza of diameter 14 inches is cut in a such a...
To find the area of the slice of pizza, we need to find the measure of the central angle in radians and then use that to calculate the area.
The central angle of each slice of pizza is given as 45 degrees. To convert this angle to radians, we use the conversion factor:
1 radian = 180 degrees / π
So, 45 degrees = (45/180) * π radians = π/4 radians.
The area of a slice of pizza can be calculated using the formula for the area of a sector of a circle:
Area of sector = (angle in radians / 2π) * πr^2
where r is the radius of the pizza.
Given that the diameter of the pizza is 14 inches, the radius is half the diameter, which is 14/2 = 7 inches.
Plugging in the values, we get:
Area of sector = (π/4 / 2π) * π(7)^2
= (1/8) * π(49)
= (49/8)π
≈ 19.25 square inches
Therefore, the area of each slice of pizza is approximately 19.25 square inches.
The central angle of each slice of pizza is given as 45 degrees. To convert this angle to radians, we use the conversion factor:
1 radian = 180 degrees / π
So, 45 degrees = (45/180) * π radians = π/4 radians.
The area of a slice of pizza can be calculated using the formula for the area of a sector of a circle:
Area of sector = (angle in radians / 2π) * πr^2
where r is the radius of the pizza.
Given that the diameter of the pizza is 14 inches, the radius is half the diameter, which is 14/2 = 7 inches.
Plugging in the values, we get:
Area of sector = (π/4 / 2π) * π(7)^2
= (1/8) * π(49)
= (49/8)π
≈ 19.25 square inches
Therefore, the area of each slice of pizza is approximately 19.25 square inches.
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A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?a)16.25b)19.25c)18.25d)17.25e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
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