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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.
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Can there be a hypotenuse of a circle?
No. A hypotenuse is defined as the side opposite the right angle in a triangle that contains a right angle.
If a square has an area of 225cm how would you calculate the radius of the largest circle that could fit inside the square?
If there is a square field fit in a circle,then the middle point of the hypotenuse of the square is the the centre point of the circle. So,the half of hypotenuse is the radius of the circle. So Hypotenuse of square = √{(5)²+(5)²} cm ==5√2 cm So, the radius of the circle = (5√2 )/2 =5/√2 cm.
What is the relationship between the chord and the radius of circle?
The relationship between the chord and the radius of the circle is Length of the chord = 2r sin(c/2) where r = radius of the circle and c = angle subtended at the center by the chord
What is the relationship between the diameter of a circle and its radius and vice versa?
The diameter of a circle if twice the length of the radius.
What is relationship between the area of a circle and a rectangle?
area of a circle = area of a rectangle(parallelogram) formed by the sectors of circle with pi as length and radius as bradth.
How do you show that from the right angle vertex to the midpoint of the hypotenuse is half the length of the hypotenouse?
All right triangles inscribed in a circle have their vertices on the circle and the hypotenuse as the circle's diameter. Thus the midpoint of the hypotenuse is the center of the circle nd all points on the circle are eqully as far from the center even so the vertex of the right angle.
Relationship of the hypotenuse to the legs?
hypotenuse = sqrt (leg1 sqrd + leg2 sqrd)
Can there be a hypotenuse of a circle?
No. A hypotenuse is defined as the side opposite the right angle in a triangle that contains a right angle.
Prove that the the line segment joining the midpoint of the hypotenuse of a right triangle to the vertex of the right angle is equal to half the hypotenuse?
Simply by measuring it. Or by drawing a circle with a radius of half the hypotenuse and having the vertex of the right angle as its centre and if the midpoint of the hypotenuse just touches the circle then this proves it.
What is the relationship between the hypotenuse and a right angle?
The hypotenuse is the side opposite to the right angle in the triangle.
What is the hypotenuse of pi r squared?
The hypotenuse is the longest side of a right angle triangle The area of a circle is pi*radius2
When a circle is drawn through each vertex of a right triangle the triangles hypotenuse will be equal to what?
The length of the circle's diameter
What is the relationship between the legs and the hypotenuse?
The two legs squared and added together = the length of the hypotenuse's length squared
What is the relationship between the short leg and the hypotenuse 30-60-90 triangle?
The short leg is equal to one-half of the hypotenuse. ( sin 30 = opposite/hypotenuse = short leg/hypotenuse = 1/2)
Why sine ratio is the ratio of opposite side and hypotenuse?
Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.
What describes the relationship between the lengths of the legs and the hypotenuse in a right triangle?
The square of the two legs is equal to the square of the hypotenuse. a2+b2 = c2 where a and b are the legs and c being the hypotenuse
How do you find the circumference of a circle if only the perimeter is given?
The perimeter of a circle is the circumference. If you mean the circle is drawn around (and touches the 4 corners of) a square, and you know the perimeter of the square, you divide the square's perimeter by 4, do pythagorean's theorem on the 2 sides (legs) to find the hypotenuse, and that hypotenuse will be the diameter of the circle. You then multiply that diameter you get by pi to get the circumference.
