Study guides

☆☆

Q: What is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?

Write your answer...

Submit

Still have questions?

Continue Learning about Geometry

The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)

The ratio of their perimeters is also 45/35 = 9/7. The ratio of their areas is (9/7)2 = 81/63

geometry represnt shapes and it's properties where as mensuration represents calculation of shapes like areas and perimeters.

This question is too vague to have an answer, but here is one.For the shaded area (pie wedge) of a circle, find the area of the circle and multiply by the ratio of the wedge angle to the entire circle (angle/360).For the shaded region of a triangle, find the area of the smaller triangle, if necessary using trig functions to define a known angle or length of a side.For other polygons, you may be able to divide the area into triangles separately, then sum their areas.

If lengths are in the ratio a:b, then areas are in the ratio a2:b2 since area is length x length. If areas are in the ratio c:d, then lengths are in the ration sqrt(c):sqrt(d). Areas of decagons are 625sq ft and 100 sq ft, they are in the ratio of 625:100 = 25:4 (dividing through by 25 as ratios are usually given in the smallest terms). Thus their lengths are in the ratio of sqrt(25):sqrt(4) = 5:2 As perimeter is a length, the perimeters are in the ratio of 5:2.

Related questions

Yes.

There is no simple answer. For an equilateral triangle it is 6.9282/s where s is the length of each side. For a square it is 4/s A regular pentagon: 2.9062/s A regular hexagon: 2.3094/s and so on. The ratio for a circle is 2/r where r is the radius. For irregular polygons there is no rule.

it has helped in finding the perimeters and areas of circle.

TriangleA a=90.6 TriangleB a=188.9 90.6/188.9 = .48 I think this is right, not completely sure though.

There is no particular reason. In fact, in general, two shapes will have different areas or perimeters or both.

The areas are different.

- Like all triangles, the angles must total to 180 degrees. - Both have the same formula for their areas, although the height of an equilateral triangle must be calculated from the side length. - Both have at least 2 acute angles (all three are 60 degrees in an equilateral triangle) and no obtuse angles. - Both figures have three sides. - Both figures have three angles.

Yes.

All isosceles triangles: - Have angles that add up to 180 degrees - Have two equal sides. The unequal side is called the base. - Have equal base angles. - Have areas and perimeters that can be found using the formulas Area=1/2 X (base X height) and Perimeter=side+side+side An equilateral triangle with a right angle is called a right isosceles triangle. Also, all equilateral triangles are isoceles triangles, but not all isosceles triangles are right triangles.

Both will individually tessellate Both are 2 dimensional shapes Both have perimeters Both have areas Both have exterior angles that add up to 360 degrees

The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)

IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.

People also asked