find the length of arc ac. use 3.14 for the value of $\pi$.

? cm

round to the nearest hundredth of a cm.

Question

find the length of arc ac. use 3.14 for the value of $\pi$.

?  cm

round to the nearest hundredth of a cm.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Arc Length Formula" ], "new_concepts": [], "current_concepts": [ "Arc Length Formula", "Central Angle Theorem" ] } ## Identify the given parameters Using the *Arc Length Formula* knowledge point $$ \begin{aligned} &r = 24\text{ cm}\ &\theta = 180^\circ\ &\pi \approx 3.14 \end{aligned} $$ ## Calculate the arc length Using the *Arc Length Formula* knowledge point $$ \begin{aligned} L &= \frac{\theta}{360^\circ} \cdot 2\pi r\ L &= \frac{180^\circ}{360^\circ} \cdot 2 \cdot 3.14 \cdot 24\ L &= 0.5 \cdot 150.72\ L &= 75.36\text{ cm} \end{aligned} $$ Find the length of arc AC. Use 3.14 for the value of $\pi$. 75.36 cm { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Arc Length Formula" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given parameters

Calculate the arc length

Answer: