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Directions: Solve the problem and select the best of the answer choices given.
Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?
- a)5
- b)10
- c)30
- d)45
- e)75
Correct answer is option 'C'. Can you explain this answer?
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Directions: Solve the problem and select the best of the answer choice...
The correct response is (C). To find the circumference of a circle, we must find the radius. Let’s start with what we know:
The area of a rectangle is lw. Here we are told that lw = 8w. That means the length is 8. We also know that the distance from P to LM = 3, so the length of the rectangle must be 6. Let’s re-draw the shape:
The radius of the circle, LP, is the hypotenuse of a right triangle whose other two sides are half the length and half the width of the rectangle. Since it’s a classic Pythagorean triplet (3:4:5), we don’t need to use the Pythagorean theorem.
Plug the radius into the formula for circumference: C = 2πr. C = 2*π*5. The circumference is approximately 10π, or a number slightly larger than 30.
The area of a rectangle is lw. Here we are told that lw = 8w. That means the length is 8. We also know that the distance from P to LM = 3, so the length of the rectangle must be 6. Let’s re-draw the shape:
The radius of the circle, LP, is the hypotenuse of a right triangle whose other two sides are half the length and half the width of the rectangle. Since it’s a classic Pythagorean triplet (3:4:5), we don’t need to use the Pythagorean theorem.
Plug the radius into the formula for circumference: C = 2πr. C = 2*π*5. The circumference is approximately 10π, or a number slightly larger than 30.
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Directions: Solve the problem and select the best of the answer choice...
The correct response is (C). To find the circumference of a circle, we must find the radius. Let’s start with what we know:
The area of a rectangle is lw. Here we are told that lw = 8w. That means the length is 8. We also know that the distance from P to LM = 3, so the length of the rectangle must be 6. Let’s re-draw the shape:
The radius of the circle, LP, is the hypotenuse of a right triangle whose other two sides are half the length and half the width of the rectangle. Since it’s a classic Pythagorean triplet (3:4:5), we don’t need to use the Pythagorean theorem.
Plug the radius into the formula for circumference: C = 2πr. C = 2*π*5. The circumference is approximately 10π, or a number slightly larger than 30.
The area of a rectangle is lw. Here we are told that lw = 8w. That means the length is 8. We also know that the distance from P to LM = 3, so the length of the rectangle must be 6. Let’s re-draw the shape:
The radius of the circle, LP, is the hypotenuse of a right triangle whose other two sides are half the length and half the width of the rectangle. Since it’s a classic Pythagorean triplet (3:4:5), we don’t need to use the Pythagorean theorem.
Plug the radius into the formula for circumference: C = 2πr. C = 2*π*5. The circumference is approximately 10π, or a number slightly larger than 30.
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Directions: Solve the problem and select the best of the answer choices given.Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?a)5b)10c)30d)45e)75Correct answer is option 'C'. Can you explain this answer?
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Directions: Solve the problem and select the best of the answer choices given.Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?a)5b)10c)30d)45e)75Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Directions: Solve the problem and select the best of the answer choices given.Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?a)5b)10c)30d)45e)75Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Solve the problem and select the best of the answer choices given.Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?a)5b)10c)30d)45e)75Correct answer is option 'C'. Can you explain this answer?.
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Solutions for Directions: Solve the problem and select the best of the answer choices given.Rectangle LMNO is inscribed in a circle with center P. If the area of the rectangle is 8 times its width, and the distance from P to side LM is 3, what is the circle’s approximate circumference?a)5b)10c)30d)45e)75Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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