Using the image, determine the measure of each arc. A 53 R レパ B mCR= degrees mAB = degrees MCAB= degrees

Q: Name the marked angle in 2 different ways. R S

A: There are different ways we can name an angle for identification.

Q: Convert in radians to degrees: 3 4

A:

Q: What is the length of an arc intercepted by a central angle of with a radius of 56cm?

A: Arc length is given by Arc length=2πrθ3600

Q: В A А 112° D

A:

Q: A 5 50.1° С Х B

A: Solution:

Q: B 94 A E 30°

A: Use the formula for intersection of chords in a circle and Substitute the given values.

Q: Choose the values of arctan(—V3) Select one or more: a. IT 3 b. Oc. - d. kl klo 3 -30° None

A: let     arctan(-3)=xwe know tan(-x)=-tanx

Q: What is the value of X and each arc measure ? Arc measures: Angle DE Angle EF Angle DFG

A:

Q: mLA = 68 m/B =

A: m∠A =?m∠B=?

Q: Find angle -30° in radian measure as a multiple of a. а. бл b. л/2 c. d. л/5 п e. 3.

A: Consider the angle

Q: In the diagram, mBD = 32° and mAE = 74°. Find the measure of LC. E D xo C 53 106 42 21 74° A 32° B 4

A: We have to determine the angle x

Q: Ise WXYZ to find each meas 1. M2WZY 2. WZ 3. MLXYZ

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.