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High school geometry

Course: High school geometry > Unit 8

Lesson 2: Arc measure
Math
High school geometry
Circles
Arc measure
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Arc measure

CCSS.Math: HSG.C.B.5
Google Classroom

Problem

In the figure below, start overline, A, C, end overline and start overline, B, D, end overline are diameters of circle P.
What is the arc measure of major arc B, D, C, start superscript, \frown, end superscript in degrees?
A circle that is centered around point P. Points A, B, C, and D all lie on this circle in a clockwise direction. Line segment A C and line segment B D are diameters of the circle. Line segments A P, B P, C P, and D P are radii of the circle. The angle A P D is a one hundred fifty-five degree angle.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
degrees
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