Geometryhard · Past Paper
If a circle passes through the vertices of a triangle with sides 3, 4, and 5, what is the radius of the circle?
A2
B2.5
C5
D1.5
✓ Correct Answer: B — 2.5
The triangle is right-angled (3^2+4^2=5^2). The hypotenuse is the diameter. Radius = 5/2 = 2.5.
Share this question
More from Geometry
- Find the equation of the line whose x-intercept is 3 and y-intercept is 4.
- If a circle is circumscribed about a right-angled triangle with legs 6 cm and 8 cm, find its radius.
- An equilateral triangle ABC is inscribed in a circle. What is the angle subtended by side AB at the center?
- If two angles are complementary and one angle is 35 degrees, what is the other angle?
- What is the relationship between the central angle and the inscribed angle standing on the same arc?