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What is the circumference and area of the circle 6.5. Give the exact value and then use pie 3.14 for an approximation?
Wiki User
∙ 11y ago
The question is not sufficiently specific: it does not say whether the 6.5 refers to radius or diameter. I shall assume it is the radius.
The exact value of the circumference is 2*pi*r v= 13*pi units
and
the exact value of the area is pi*r2 = 42.25*pi square units.
Since pi is an irrational number there is no decimal or fractional value that is exactly equal to pi so the above are the only possible exact values.
Using pi (not pie) = 3.14, these give
circumference = 40.82 units and
area = 132.67 square units.
Wiki User
∙ 11y ago
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Could you find the circumference of a circle using the exact value for pi?
Yes, you could if you knew the exact value for pi as well as the diameter of the circle. Multiply the diameter by the exact value for pi to get the circumference. However, it is impossible because the exact value for pi is not known. It is only known to about a trillion decimal places, but the exact value is not known.
Who derived the number for pi?
The circumference of any circle divided by its diameter is always equal to pi and its exact value has never been discovered because its decimal places run into infinity and in math only an approximation of its value is used.
What are some famous mathematical problems pi?
If the value of pi is the circumference of any circle divided by its diameter then what is the true exact value of pi? Why is it that the exact area of a circle can never be found?
What is the formula to finding the diameter of a circle that has a circumference?
Circumference = Pi * D (the diameter) Therefore D = Circumference / Pi Naturally all circles have a circumference, but if this value is known then we can find the diameter by dividing this value by Pi. (Note: Pi is a special number and we can only ever use an approximation to its value.)
What is the exactly value of pi?
The exact value of pi is the ratio of the circumference of a circle to its diameter. It cannot be printed exactly in numbers.
The exact diameter of a circle with circumference 29 feet?
The circumference of a circle = 2πr or πd where r is the radius and d is the diameter.Therefore, 29 = πd : d = 29/π = 9.230987 feet (6dp).NOTE : As π is an irrational number then an exact value cannot be given to it. The answer is therefore an approximation of the diameter. It is not an exact length.
What approximation of pi was used around 1650 B.C?
It was 3 and even today we do not know its exact value only that the circumference of a circle divided by its diameter is the value of pi which is an irrational number that can't be expressed as a fraction.
Could you find the circumference of a circle using the exact value for pi?
Yes, you could if you knew the exact value for pi as well as the diameter of the circle. Multiply the diameter by the exact value for pi to get the circumference. However, it is impossible because the exact value for pi is not known. It is only known to about a trillion decimal places, but the exact value is not known.
Who derived the number for pi?
The circumference of any circle divided by its diameter is always equal to pi and its exact value has never been discovered because its decimal places run into infinity and in math only an approximation of its value is used.
What is the exact history of mathematical pi?
The circumference of any circle when divided by its diameter has the exact value of pi
What is the difference between an exact answer and an approximated answer when dealing with circles?
Usually, in terms of school work, an exact answer leaves pi in the answer. Since pi is an irrational number, as soon as you try to substitute a value for it in your calculations, you are introducing an approximation. So, for a circle with radius 5 cm, a circumference given as 10*pi cm is an exact answer but 31.4159 cm is an approximation.
Is Pi 3.14?
Pi is the circumference of a circle divided by the diameter of a circle. 3.14 is an approximation of Pi. It is not possible to display the value of Pi. (See the related questions.)
What are some famous mathematical problems pi?
If the value of pi is the circumference of any circle divided by its diameter then what is the true exact value of pi? Why is it that the exact area of a circle can never be found?
What is the formula to finding the diameter of a circle that has a circumference?
Circumference = Pi * D (the diameter) Therefore D = Circumference / Pi Naturally all circles have a circumference, but if this value is known then we can find the diameter by dividing this value by Pi. (Note: Pi is a special number and we can only ever use an approximation to its value.)
When was the area of the circle invented?
The exact area of a circle has never been worked out because the value of pi in the area of a circle which is pi times radius2 is only an approximation.
What is the exactly value of pi?
The exact value of pi is the ratio of the circumference of a circle to its diameter. It cannot be printed exactly in numbers.
What is the hardest geometry problem ever?
One of many is knowing the exact value of pi which is a circle's circumference divided by its diameter.
