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.
![Find the radian measure of the central angle of a circle of radius 3 yards that intercepts an arc of length 5 yards.
The radian measure of the central angle is
(Type an integer or a fraction. Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa140fe98-3420-4a5a-9412-d162c8555ef1%2Fdfa80acb-e5b9-474d-9945-ce17a60491be%2Fufekzva_processed.png&w=3840&q=75)
![Use the Pythagorean Theorem to find the length of the
missing side of the right triangle. Then find the value of
each of the six trigonometric functions of 0.
B
c = 20
a
9.
A
b = 16
The length of the missing side of the right triangle is a =
sin 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cos 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
tan 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
csc 0=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sec 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cot e =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa140fe98-3420-4a5a-9412-d162c8555ef1%2Fdfa80acb-e5b9-474d-9945-ce17a60491be%2Fojl7gnk_processed.png&w=3840&q=75)
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