A dartboard has a diameter of 18 inches. What is its radius and circumference (C)?

Select all that apply.

Select 2 correct answer(s)
Question 6 options:

radius = 26 inches

C = 9π
square inches

radius = 9 inches

radius = 3 inches

C = 18π
square inches

C =26π
square inches

1 answer

To find the radius and circumference of a dartboard with a diameter of 18 inches, we can use the following formulas:

  1. Radius (r): The radius is half of the diameter. \[ r = \frac{\text{diameter}}{2} = \frac{18 \text{ inches}}{2} = 9 \text{ inches} \]

  2. Circumference (C): The circumference of a circle is given by the formula: \[ C = \pi \times \text{diameter} = \pi \times 18 \text{ inches} = 18\pi \text{ inches} \]

Now, let's check the options given:

  • Radius = 26 inches (Incorrect; the radius is 9 inches)
  • C = 9π square inches (Incorrect; the circumference is 18π inches)
  • Radius = 9 inches (Correct)
  • Radius = 3 inches (Incorrect; the radius is 9 inches)
  • C = 18π square inches (Correct)
  • C = 26π square inches (Incorrect; the circumference is 18π inches)

The two correct answers are:

  1. Radius = 9 inches
  2. C = 18π square inches