question 9 of 10

if a circle has a diameter of 16 feet, which expression gives its area in square feet?

a. $8 \cdot \pi$
b. $16^2 \cdot \pi$
c. $16 \cdot \pi$
d. $8^2 \cdot \pi$

Question

question 9 of 10

if a circle has a diameter of 16 feet, which expression gives its area in square feet?

a. $8 \cdot \pi$
b. $16^2 \cdot \pi$
c. $16 \cdot \pi$
d. $8^2 \cdot \pi$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Diameter of a Circle", "Radius of a Circle", "Area of a Circle" ], "new_concepts": [], "current_concepts": [ "Diameter of a Circle", "Radius of a Circle", "Area of a Circle" ] } ## Find the radius from the diameter Using the *Diameter of a Circle* and *Radius of a Circle* knowledge points $$ \begin{aligned} d &= 16\text{ feet}\ r &= \frac{d}{2} = \frac{16}{2} = 8\text{ feet} \end{aligned} $$ ## Calculate the area of the circle Using the *Area of a Circle* knowledge point $$ \begin{aligned} A &= \pi r^2\ A &= \pi \cdot 8^2 = 8^2 \cdot \pi \end{aligned} $$

A. $8 \cdot \pi$

B. $16^2 \cdot \pi$

C. $16 \cdot \pi$

D. $8^2 \cdot \pi$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Area of a Circle" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find the radius from the diameter

Calculate the area of the circle

Answer: