Geometry Test

State the theorem that states the angle at the center of a circle is twice the angle at the circumference when subtended by the same arc.

• The theorem is known as the 'Angle at the Center Theorem' or 'Central Angle Theorem.' It states that the angle at the center of a circle is twice the angle at the circumference when subtended by the same arc.

• The theorem is referred to as the 'Tangent Angle Theorem.'

• The theorem is known as the 'Radius Angle Theorem.'

• The theorem is called the 'Opposite Angle Theorem.'

Calculate the circumference of a circle with a radius of 5 cm. Use π = 3.14.

• 25.2 cm

• 15.7 cm

• 31.4 cm

• 10.5 cm

Find the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Use π = 3.14.

• The volume of the cylinder is 200.8 cm³

• The volume of the cylinder is 502.4 cm³

• The volume of the cylinder is 300.6 cm³

• The volume of the cylinder is 100.5 cm³

What is the formula for the surface area of a sphere?

• 2πr^2

• 3πr^2

• πr^3

• 4πr^2

Prove that the opposite sides of a parallelogram are equal in length.

• The opposite sides of a parallelogram are perpendicular to each other.

• The opposite sides of a parallelogram are not equal in length.

• The opposite sides of a parallelogram are parallel but not equal in length.

• The opposite sides of a parallelogram are equal in length.