solve the formula $c = 2\pi r$ for $r$.

a) $r = \frac{c}{2\pi}$

b) $r = 2\pi c$

c) $r = 2c\pi$

d) $r = \pi - c$

Question

solve the formula $c = 2\pi r$ for $r$.

a) $r = \frac{c}{2\pi}$

b) $r = 2\pi c$

c) $r = 2c\pi$

d) $r = \pi - c$

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": [ "Literal Equations", "Rearranging Formulas" ], "new_concepts": [], "current_concepts": [ "Literal Equations", "Rearranging Formulas" ] } ## Identify the given equation and target variable Using the *Literal Equations* and *Rearranging Formulas* knowledge points $$ \begin{aligned} &\text{Given equation: } C = 2\pi r\ &\text{Target variable: } r \end{aligned} $$ ## Isolate the target variable Using the *Rearranging Formulas* knowledge point $$ \begin{aligned} C &= 2\pi r \ \frac{C}{2\pi} &= r \ r &= \frac{C}{2\pi} \end{aligned} $$

(A) $r = \frac{C}{2\pi}$

(B) $r = 2\pi C$

(C) $r = 2C\pi$

(D) $r = \pi - C$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Literal Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given equation and target variable

Isolate the target variable

Answer: