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Arc Length, Radians & Degrees

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Wize High School Grade 12 Pre-Calculus Textbook > Trigonometric Ratios (Radians)

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Wize High School Algebra II Textbook (Common Core) > Trigonometric Ratios (Radians)

Radians

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Practice: Radians & Degrees

A circle with center C\text{C} and arc length AB\text{AB} measuring 24πm24\pi{}\text{m} long have angles ∡ CAB = ∡ CBA = π8 radians\measuredangle{}~\text{CAB}~=~\measuredangle{}~\text{CBA}~=~\displaystyle\frac{\pi}{8}~\text{radians}, shown below.


What is the radius of the circle?
More Radians Questions:
Trigonometric Ratios
Determine whether the trigonometric expression is positive or negative.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
A circle with center C\text{C} and arc length AB\text{AB} measuring 15m15\text{m} long have angles ∡ CAB = ∡ CBA = π3 radians\measuredangle{}~\text{CAB}~=~\measuredangle{}~\text{CBA}~=~\displaystyle\frac{\pi}{3}~\text{radians}, shown below.
What is the radius of the circle?
Arc Length, Radians & Degrees
Practice: Radians & Degrees
The arc length of a circle is 418 mm4\sqrt{18}~\text{mm} and the radius is 2 mm\sqrt{2}~\text{mm}. What is the sector angle, in degrees? Round the answer to the nearest hundredth of a degree.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
The arc length of a circle is 247 mm2\sqrt{47}~\text{mm} and the radius is 17 mm\sqrt{17}~\text{mm}. What is the sector angle, in degrees? Round the answer to the nearest hundredth of a degree.
Radians & Degrees
Practice: Radians & Degrees
Match the correct angle in degrees to its equivalent angle in radians.
Radians & Degrees
Practice: Radians & Degrees
Match the correct angle in degrees to its equivalent angle in radians.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
Convert:
450∘ 450^\circ~ to radians.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
Convert:
200∘ 200^\circ~ to radians.
More Radians Questions:
Trigonometric Ratios
Determine whether the trigonometric expression is positive or negative.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
A circle with center C\text{C} and arc length AB\text{AB} measuring 15m15\text{m} long have angles ∡ CAB = ∡ CBA = π3 radians\measuredangle{}~\text{CAB}~=~\measuredangle{}~\text{CBA}~=~\displaystyle\frac{\pi}{3}~\text{radians}, shown below.
What is the radius of the circle?
Arc Length, Radians & Degrees
Practice: Radians & Degrees
The arc length of a circle is 418 mm4\sqrt{18}~\text{mm} and the radius is 2 mm\sqrt{2}~\text{mm}. What is the sector angle, in degrees? Round the answer to the nearest hundredth of a degree.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
The arc length of a circle is 247 mm2\sqrt{47}~\text{mm} and the radius is 17 mm\sqrt{17}~\text{mm}. What is the sector angle, in degrees? Round the answer to the nearest hundredth of a degree.
Radians & Degrees
Practice: Radians & Degrees
Match the correct angle in degrees to its equivalent angle in radians.
Radians & Degrees
Practice: Radians & Degrees
Match the correct angle in degrees to its equivalent angle in radians.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
Convert:
450∘ 450^\circ~ to radians.
Arc Length, Radians & Degrees
Practice: Radians & Degrees
Convert:
200∘ 200^\circ~ to radians.