question 8 of 10

what is the formula for finding the area of a regular polygon with perimeter $p$ and apothem length $a$?

a. $a = \frac{1}{2}(pa)$
b. $a = pa$
c. $a = \frac{1}{2}(pa)$
d. $a = pa$

Question

question 8 of 10

what is the formula for finding the area of a regular polygon with perimeter $p$ and apothem length $a$?

a. $a = \frac{1}{2}(pa)$
b. $a = pa$
c. $a = \frac{1}{2}(pa)$
d. $a = pa$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Regular Polygon Area", "Apothem", "Perimeter of Polygons" ], "new_concepts": [], "current_concepts": [ "Regular Polygon Area", "Apothem", "Perimeter of Polygons" ] } ## Identify the formula for the area of a regular polygon $$ A = \frac{1}{2} P a $$ ## Match variables with the given options $$ \begin{aligned} &\text{Area} = A \ &\text{Perimeter} = P \ &\text{Apothem} = a \ &A = \frac{1}{2}(Pa) \end{aligned} $$

A. $a = \frac{1}{2}(PA)$

B. $a = PA$

C. $A = \frac{1}{2}(Pa)$

D. $A = Pa$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Regular Polygon Area" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the formula for the area of a regular polygon

Match variables with the given options

Answer: