Area of a Circle Sector From Area to Angle (Equation) (Level 3)

This math topic focuses on determining the sector angle of a circle given the sector's area and the circle's radius. It is nested within a broader unit on circle geometry, specifically covering areas of circle sectors and related aspects. Through a series of questions, learners are tasked with calculating the angle of a circle sector based on provided areas and radius values, applying the formula \( \theta = \frac{{360 \times (sector\ area)}}{{\pi \times radius^2}} \). Each question presents multiple-choice answers, encouraging hands-on problem-solving within the theme of circle geometry.

Circle Sector From Area to Angle (Equation)

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Find the sector angle for a sector with area 125/8 π in a circle of radius 5

r=5