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What is the diameter of a circle whose area is quadrupled when the length of its radius is increased by 4cm?
Wiki User
∙ 14y ago
The answer to your question is 8 cm diameter, increasing to 16 cm diameter:
r2 squared = 4 x r1 squared and r2 = r1 + 4
r1 squared + 8r1 + 16 = 4r1 squared
3r1 squared - 8r1 - 16 = 0
Factors are (3r1 + 4)(r1 - 4), so original radius was 4cm (area 16pi) and increased radius is 8 cm (area 64pi).
Wiki User
∙ 14y ago
Anonymous
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What is the length of the diameter of 9 in?
the diameter is the length. the diameter means the length of across the circle. it means the longest length across the circle. the radius is halfthe diameter
What is the relationship between the length of the diameter of a circle and length of the radius of that circle?
The diameter of any circle is twice its radius
What is the length of a radius and the length of a diameter?
The length of a radius of a circle is half of the diameter of the same circle. So, diameter is always twice the radius.
How does the length of the diameter of a circle compare to the length of the radius of that circle?
diameter = 2 X radius
Is diameter of a circle is the length of the radius?
The diameter of a circle is twice its radius.
What happens to the area of a circle if the diameter is quadrupled?
If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).
How do you find the diameter of a circle with the width and length?
The width, or the length of a circle are its diameter.
What is the length of the diameter of 9 in?
the diameter is the length. the diameter means the length of across the circle. it means the longest length across the circle. the radius is halfthe diameter
What is the relationship between the length of the diameter of a circle and length of the radius of that circle?
The diameter of any circle is twice its radius
What is the length of a radius and the length of a diameter?
The length of a radius of a circle is half of the diameter of the same circle. So, diameter is always twice the radius.
How does the length of the diameter of a circle compare to the length of the radius of that circle?
diameter = 2 X radius
Is diameter of a circle is the length of the radius?
The diameter of a circle is twice its radius.
Meaning of diameter in a circle?
The diameter of a circle is the length of the circle from one side to the other, going through the middle of the circle. The radius is the measurement of length from the middle of the circle to the perimeter of the circle. This is half of the diameter.
What is the length of a circle known as?
The length around a circle is the circumference The length across a circle is the diameter
What is the relationship between the length of a radius of a circle and the length of a diameter of the same circle?
The radius is half the diameter.
If the length of a diameter of a circle is10what is the length of a radius of this circle?
The radius is 1/2 of the diameter. A diameter of 10 has a radius of 5.
What is the relationship of a radius and a diameter of a circle?
the radius is half the length of the diameter of a circle.
