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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
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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).
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What happens to the area of the circle when the diameter is doubled?
As the area of a circle A equals pi times the radius squared, and doubling the diameter means multiplying the radius by four, the area is multiplied by 16 when you double the diameter.
When the diameter of a circle doubled what happens to the circumference of the circle?
When the diameter of the circle doubled, its circumference also doubled.However, its area increased to 4 times the original area, while nobody was looking.
What is the area of a circle with the diameter of 3m?
The area of a circle with the diameter of 3m is 7.069 m2
What is the area of a circle with diameter of 4.9?
The area of a circle with diameter of 4.9 is 75.43 units2
What is the diameter of a circle whose area is 200.96?
The diameter of a circle whose area is 200.96 is: 16
How is the area changed if the radius of a circle is multiplied by 2?
Quadrupled
What happens to the area of a circle when the diameter is doubled?
the area is increased by 4 times
What happens to the area of the circle when the diameter is doubled?
As the area of a circle A equals pi times the radius squared, and doubling the diameter means multiplying the radius by four, the area is multiplied by 16 when you double the diameter.
When the diameter of a circle doubled what happens to the circumference of the circle?
When the diameter of the circle doubled, its circumference also doubled.However, its area increased to 4 times the original area, while nobody was looking.
What happens to the area of a circle if yo double the radius?
Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same
What happens to the perimeter of a rectangle when its length and width are quadrupled?
When the linear dimensions of a plane figure are quadrupled, its perimeter is quadrupled, and its area is multiplied by 42 = 16 .
What happens to the area of a circle when its doubled?
When the diameter is doubled, perhaps? Then the area is 4 x larger.
What happens to the area of a parallelogram when you double the height and the base?
The area of the parallelogram is quadrupled.
What is the diameter of a circle with a area of 37.68?
The diameter of a circle with an area of 37.68 is 6.92
What happens to the area of a parallelogram when you double both the height and the base?
The area of the parallelogram is quadrupled.
When the diameter of a circle is tripled what happens to the area of the cirlcle?
Area is proportional to the square of the linear dimensions.If diameter is tripled, area increases by a factor of (3)2 = 9 .
What happens to the area of a circle if you triple a radius?
When you triple the radius of the circle . . . -- The diameter also triples. -- The circumference also triples. -- The area is multiplied by 9 .
