A triangle is inscribed in a circle of radius 5 cm. What is the maximum area of
Practice Questions
Q1
A triangle is inscribed in a circle of radius 5 cm. What is the maximum area of the triangle?
12.5 cm²
25 cm²
20 cm²
15 cm²
Questions & Step-by-Step Solutions
A triangle is inscribed in a circle of radius 5 cm. What is the maximum area of the triangle?
Inscribed Triangle Area – The area of a triangle inscribed in a circle can be maximized using the formula involving the radius and the sine of the angle between two sides.
Trigonometric Functions – Understanding the properties of the sine function, particularly that sin(θ) reaches its maximum value of 1 when θ = 90 degrees.
Circle Geometry – Knowledge of the relationship between a circle's radius and the area of inscribed shapes.
