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Q: What group would a triangle and a circle belong in?
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What does a right triangle circumscribed about a circle look like?

If you were to see it drawn on paper, you would be seized by the unmistakable impression that it bears an uncanny resemblance to a circle inside a right triangle.


How would you construct a right triangle given the length of a leg and the radius of the circumscribed circle?

To construct a right triangle given the radius of the circumscribed circle and the length of a leg, begin with two ideas. First, the diameter of the circle is equal to twice the radius. That's pretty easy. Second, the diameter of the circle is the length of the hypotenuse. The latter is a key to construction. Draw your circle, and draw in a diameter, which is the hypotenuse of the right triangle, as was stated. Now set you compass for the length of the leg of the triangle. With this set, place the point of the compass on one end of the diameter (the hypotenuse of your triangle), and draw an arc through the circumference of the circle. The point on the curve of the circle where the arc intersects it will be a vertex of your right triangle. All that remains is to add the two legs or sides of the triangle. Draw in line segments from each end of the hypotenuse (that diameter) to the point where your arc intersected the curve of the circle. You've constructed your right triangle. Note that any pair of lines that is drawn from the ends of the diameter of a circle to a point on the curve of the circle will create a right triangle.


A horse is tied to the corner of a field which is in the shape of an equilateral triangleit is tied with a rope 7metres long Find the area over which the horse can graze?

You would firstly have to know the mesurements of your triangle, including the height.. Then you do baseXheight divided by two... that gives you the square footage in the triangle. Then, you take one poit of your triangle as the center of your circle. The ray would be 7 metres. To get the square footage of a circle you have to do PIXsquareR...


What will be the perimeter of an equilateral triangle inscribed in a circle of area154 sq.cm?

The formula for area of a circle is Area=pi*radius2 you know the area of your circle so now find the radius. 154 = pi*r2 r = 7 cm if you can imagine the equilateral triangle in the circle imagine that the radius touches the exact center of this triangle and can extend to one of the three points on the triangle. (this next part would be so much easier if i could draw you a picture). now, if you remember that an equilateral triangle has three angles that each measure up to 60 degrees. if you take the radius of the circle and draw a line from the center of the triangle to the tip of the triangle you will actually cut on of the 60 degree angles in half. this would now make you have an angle 30 degrees. if you do this same thing to another point you will notice you actually have another triangle inside this triangle. since all triangle angles add up to 180 degrees you know all three angles of this new triangle. (note: this new triangle is not an equilateral triangle). so this new triangle has an angle 30 degrees, 30 degrees, and 120 degrees. you can now use the law of sines to find out the length of one side of the equilateral triangle. if you have drawn your picture correctly then you will see that one side of the new triangle actually shares one side of the equilateral triangle. if you look at your new triangle their is only one side that is known a known quantity. this side is the side that is shared with the equilateral triangle. use the law of sines to figure out the length of this side... 7 / sin(30) = x / sin(120) x = 12.12cm you now know that one side of the equlateral triangle is 12.12cm. since there is three sides to the triangle the total perimeter of the equilateral triange is 12.12 times 3 your answer for the perimeter of the equilateral triangle is 36.36cm


What are the main geometric shapes?

There are many geometric shapes. But the square, octagon, rectangle, pentagon, triangle, circle, hexagon and heptagon would be considered the main shapes.

Related questions

What does a circle with triangle inside mean?

It is the symbol for Alcoholics Anonymous.


Would sugar belong to the vitamins group?

Sugar would not belong to the vitamins group.


What would the center of a circle which is circumscribed about a triangle be called?

The center of the circle. Perhaps clarify the question?


What is a cone as a 2D shape?

Looking from the base your would see a circle. Looking from the side you would see a triangle.


What group did James Oglethorp belong to?

He was a founder of Georgia though I'm not sure what group he would belong to.


Why does earth have to be circle?

because a square or a triangle would not rotate properly


What does a right triangle circumscribed about a circle look like?

If you were to see it drawn on paper, you would be seized by the unmistakable impression that it bears an uncanny resemblance to a circle inside a right triangle.


What food group does mango belong to?

I believe a mango would belong to a fruit group seeing as it grows above ground.


A triangle or a square or a rectangle or a pentagon or a hexagon or an octagon or a circle has the least area and which has the maximum area if the perimeter of each is 44 cm?

Triangle-least area, circle- most area, per given perimeter . The circle would have an area of 154 square cm. the triangle could have an area of almost zero if it were a long, skinny triangle. An equilateral triangle would have an area approx 92.8 sq cm.


Which circle of Dante's hell would the wife of bath belong in?

Eighth Circle, Bolgia 1, for Pimps and Seducers.


What relationship does the hypotenuse have with the circle?

The hypotenuse has no intrinsic relationship to the circle. The hypotenuse is the side of a right triangle that is opposite to the right angle. You can draw a circle that has a hypotenuse as its diameter or its radius, but you can do that with any line segment. It would not be related in another way to the triangle.


What musical group does the harmonica belong to?

the harmonica would either be in the blues group or the country music group