Exploring Circle Geometry

What is the area of a circle with a radius of 7 cm?

• 153.94 cm²

• 154.00 cm²

• 160.00 cm²

• 150.00 cm²

Calculate the circumference of a circle with a diameter of 10 m.

• 40.84 m

• 31.42 m

• 15.70 m

• 25.00 m

If the radius of a circle is doubled, how does the area change?

• The area remains the same.

• The area decreases by a factor of 4.

• The area increases by a factor of 4.

• The area increases by a factor of 2.

Identify the theorem that states the angle subtended by a diameter is a right angle.

• Thales' theorem

• Inscribed angle theorem

• Euclid's first theorem

• Pythagorean theorem

What is the formula for the area of a circle?

• A = πd

• A = r²/2

• A = 2πr

• A = πr²

Find the circumference of a circle with a radius of 5 cm.

• 31.42 cm

• 15.70 cm

• 40.84 cm

• 25.12 cm

If the area of a circle is 50π cm², what is its radius?

• 4 cm

• 6 cm

• 7 cm

• 5√2 cm

What is the relationship between the radius and diameter of a circle?

• The diameter is half the radius.

• The diameter is twice the radius.

• The radius and diameter are equal.

• The radius is twice the diameter.

Using the Pythagorean theorem, find the length of the hypotenuse in a right triangle with legs of 3 cm and 4 cm.

• 5 cm

• 7 cm

• 6 cm

• 8 cm

If two angles are inscribed in the same arc, what can be said about their measures?

• The measures of the two angles are unrelated.

• The measures of the two angles are supplementary.

• The measures of the two angles are complementary.

• The measures of the two angles are equal.