Circles
Radius of Circle Inscribed in Triangle I
Submitted by michaela.bailova on Tue, 08/20/2024 - 15:53Central Angles and Inscribed Angles III
Submitted by michaela.bailova on Tue, 08/06/2024 - 14:33Radius of Circle Circumscribed About Triangle
Submitted by michaela.bailova on Mon, 08/05/2024 - 17:31Tangents to Circles – Computation of Angles
Submitted by michaela.bailova on Thu, 07/11/2024 - 14:46Areas of Parts of Circle I
Submitted by michaela.bailova on Sat, 07/06/2024 - 22:132010012902
Level:
B
Derive the formula for calculating the area of an equilateral triangle inscribed in a circle of radius .
2010012901
Level:
B
Consider a circle with radius . In the circle is inscribed a convex quadrilateral so that the diagonal is the diameter of the circle, the length of is , and the length of is . Determine the length of side . (See the picture.)
2010012810
Level:
A
In the triangle , , , . Point is the foot of the altitude from the vertex (See the picture.) What is the radius of the circumcircle of the triangle ?
2010012809
Level:
B
Which of the following formulas expresses the area of a regular pentagon inscribed in a circle of radius ? (See the picture.)