Topics
12. Circles
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United States of AmericaVirginia
Geometry

12.02 Measures of arcs

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following diagram. Find $x$x.

A circle with center F has three radii, which meet the circle at points G, H, and J. Point L lies on the circle, opposite from point H. angle(GFH) measures 100 degrees, angle(HFJ) is a right angle, and obtuse angle(GFJ) measures x degrees.

Medium
1min

$\overline{GJ}$GJ is a diameter of circle $K$K. Which of the following describes arc $GLH$GLH?

Medium
< 1min

Consider the circle below, centered at P, in which $\overline{AB}$AB is a diameter.

Medium
1min
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Outcomes

G.PC.3

The student will solve problems, including those in context, by applying properties of circles.

G.PC.3b

Solve for arc measures and angles in a circle formed by central angles.

G.PC.3c

Solve for arc measures and angles in a circle involving inscribed angles.

G.PC.3f

Apply arc length or sector area to solve for an unknown measurement of the circle including the radius, diameter, arc measure, central angle, arc length, or sector area.

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