An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
Where the side of the equilateral triangle is s and the radius of the inscribed circle is r:s = 2r * tan 30° = 48.50 cm
circle, square, equilateral triangle, rhombus, etc.
3 1/2 inches
Square, circle, equilateral triange! Hope I helped! :)
Yes and perfectly
A square or an equilateral triangle for example when a circle is inscribed within it.
120
Yes. Any triangle can be inscribed in a circle.
4
It is 0.6046 : 1 (approx).
the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°
An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.
It is a regular polygon as for example an equilateral triangle
Make a sketch of the situation. From a corner of the equilateral triangle draw a radius of the large circle, and from an adjacent side draw a radius of the smaller circle. You should have formed a small right-angled triangle with a known side of 10cm. and known angles of 30o, 60o and 90o. (The interior angles of an equilateral triangle are each 60o.) The hypotenuse is the unknown radius of the larger circle. But since cos 60 = 0.5, it is evident that the hypotenuse is 20cm. long.
Figure B. equilateral triangle (small circle) inside of isosceles triangle (big cirlce)
Where the side of the equilateral triangle is s and the radius of the inscribed circle is r:s = 2r * tan 30° = 48.50 cm