Geometry Problem Quiz

What is the radius of the first circle mentioned in the problem?

• 14.2

• 8.6

• 7.1

• 5.6

How is the height of the rectangle determined?

• By using the Pythagorean theorem

• By subtracting the radius of the second circle from the first

• By doubling the radius of the first circle

• By adding the radii of all circles

What is the significance of the point O in the problem?

• It is the intersection point of the diagonals

• It is the center of the rectangle

• It is the midpoint of the hypotenuse

• It is the center of the second circle

What is the expression for the distance BC in terms of X?

• 5.6 - X

• 8.6 - X

• 8.6 + X

• 14.2 - 5.6 + X

Which theorem is used to form the equation involving the radius of the blue circle?

• Binomial theorem

• Thales' theorem

• Fundamental theorem of algebra

• Pythagorean theorem

What is the quadratic equation derived from the Pythagorean theorem?

• x^2 + 39.6x - 73.96 = 0

• x^2 - 39.6x + 73.96 = 0

• x^2 - 11.2x + 31.36 = 0

• x^2 + 11.2x - 31.36 = 0

What is the approximate radius of the blue circle?

• 1.97

• 7.1

• 37.63

• 5.6

Why is the first solution of the quadratic equation ignored?

• It is too large

• It is negative

• It is not a real number

• It is zero

Which formula is used to calculate the area of the blue circle?

• A = 2πr^2

• A = 2πr

• A = πr^2

• A = πd

What is the approximate area of the blue circle?

• 1.97 square units

• 12.19 square units

• 5.6 square units

• 37.63 square units