jordan is baking brownies and will choose to use either a round or a rectangular pan.

which statement describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan?

select one:
a. the area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches.
b. the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244 square inches.
c. the area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.5 square inches.
d. the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.

Question

jordan is baking brownies and will choose to use either a round or a rectangular pan.

which statement describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan?

select one:
a. the area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches.
b. the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244 square inches.
c. the area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.5 square inches.
d. the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Area of a Circle" ], "new_concepts": [ "Area of a Rectangle" ], "current_concepts": [ "Area of a Circle", "Area of a Rectangle" ] } ## Calculate the area of the round pan $$ \begin{aligned} d &= 10\text{ in.} \ r &= 5\text{ in.} \ A_{\text{round}} &= \pi r^2 = \pi (5)^2 = 25\pi \approx 78.54\text{ sq. in.} \end{aligned} $$ ## Calculate the area of the rectangular pan $$ \begin{aligned} l &= 10\text{ in.} \ w &= 7\text{ in.} \ A_{\text{rect}} &= l \times w = 10 \times 7 = 70\text{ sq. in.} \end{aligned} $$ ## Compare the two areas $$ \begin{aligned} A_{\text{round}} - A_{\text{rect}} &\approx 78.54 - 70 = 8.54\text{ sq. in.} \ A_{\text{round}} &> A_{\text{rect}}\text{ by about } 8.5\text{ sq. in.} \end{aligned} $$

a. The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches.

b. The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244 square inches.

c. The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.5 square inches.

d. The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.

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

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QUESTION IMAGE

Question

Explanation:

Calculate the area of the round pan

Calculate the area of the rectangular pan

Compare the two areas

Answer: