point g is the center of the small circle. point x is the center of the large circle. points g, y, and x are all on line segment gx.

marco wants to create a new circle using $\overline{gx}$ as a radius. what will be the area of marcos new circle?

$10\pi\text{ cm}^2$
$16\pi\text{ cm}^2$
$356\pi\text{ cm}^2$
$676\pi\text{ cm}^2$

Question

point g is the center of the small circle. point x is the center of the large circle. points g, y, and x are all on line segment gx.

marco wants to create a new circle using $\overline{gx}$ as a radius. what will be the area of marcos new circle?

$10\pi\text{ cm}^2$
$16\pi\text{ cm}^2$
$356\pi\text{ cm}^2$
$676\pi\text{ cm}^2$

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": [], "current_concepts": [ "Area of a Circle", "Circle Geometry" ] } ## Identify the radius of the new circle $$ \begin{aligned} &GX = 26\text{ cm} \end{aligned} $$ ## Calculate the area of the new circle $$ \begin{aligned} &A = \pi r^2\ &A = \pi (26)^2\ &A = 676\pi\text{ cm}^2 \end{aligned} $$

(A) $10\pi\text{ cm}^2$

(B) $16\pi\text{ cm}^2$

(C) $356\pi\text{ cm}^2$

(D) $676\pi\text{ cm}^2$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the radius of the new circle

Calculate the area of the new circle

Answer: