Domanda del libro di testo
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.
r = 12.7 cm, θ = 81°
640
views
Ch. 3 - Radian Measure and The Unit Circle
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 55
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
-47.69°
Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given degree measure into the formula: \(-47.69^\circ \times \frac{\pi}{180}\).
Multiply the degree value by \(\pi\) to get the numerator of the fraction.
Divide the result by 180 to complete the conversion to radians.
If needed, use a calculator to approximate the value and round it to the nearest thousandth.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric calculations.
Video consigliato:
Percorso guidato
5:04
Converting between Degrees & Radians
Use of π in Radian Measures
Radians are often expressed in terms of π to maintain exact values. For example, 180° equals π radians. Understanding how π relates to angle measures helps in both exact and approximate calculations.
Video consigliato:
Percorso guidato
5:04Converting between Degrees & Radians
Rounding to a Specified Decimal Place
When converting to radians, the result may be an irrational number. Rounding to the nearest thousandth means limiting the decimal places to three digits, which balances precision and simplicity for practical use.
Video consigliato:
Percorso guidato
1:37Example 1
Pratica correlata
Domanda del libro di testo
Find the area of a sector of a circle having radius r and central angle θ. Express answers to the nearest tenth. See Example 5.
r = 40.0 mi, θ = 135°
971
views
Domanda del libro di testo
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
122° 37'
787
views
Domanda del libro di testo
Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c).
56° 25'
592
views
Domanda del libro di testo
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
cos 2
803
views
Domanda del libro di testo
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
sin ( ―1)
744
views