1-16-2025

Last updated over 1 year ago

6 Nsɛmmisa

Do Now

Measuring a Circle

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Converting

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Coterminal and Reference Angles

It helps to have the angles measured in radians instead because it helps with solving arc length and area of a sector. The formulas are simpler and more concise.

Laabri

1-16-2025

Last updated over 1 year ago

6 Nsɛmmisa

Do Now

Asemmisa {{asɛmmisaAhyɛnsode}}

Do Now- You are given the angle 500\degree .

Solve for a co terminal angle \theta such that 0<\theta<360

\theta=

With the given information, what is the reference angle for \theta?

Measuring a Circle

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Asemmisa {{asɛmmisaAhyɛnsode}}

Instead of over complicating things, let's image a circle with a radius of 1. (leave your answer as a simplified fraction \frac{5\pi}{6})

What is the Circumference of the full Circle?

What is the Circumference (Arc Length) of half a Circle?

What is the Circumference of a third of a circle?

Converting

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Teacher Example: Convert \frac{5\pi}{6} to degrees

Asemmisa {{asɛmmisaAhyɛnsode}}

Student Example \frac{8\pi}{3}

Teacher Example: Convert 15 degrees to radians

Asemmisa {{asɛmmisaAhyɛnsode}}

Student example: Convert 275 \degree to radians.

Coterminal and Reference Angles

It helps to have the angles measured in radians instead because it helps with solving arc length and area of a sector. The formulas are simpler and more concise.

null

Asemmisa {{asɛmmisaAhyɛnsode}}

Find an angle \theta that is co terminal to \frac{-2\pi}{7} where 0\leq \theta \leq 2\pi

Asemmisa {{asɛmmisaAhyɛnsode}}

What is the reference angle for \frac{4\pi}{3}

What is the reference angle for \frac{5\pi}{3}

Asemmisa {{asɛmmisaAhyɛnsode}}

Do Now- You are given the angle 500\degree .

Solve for a co terminal angle \theta such that 0<\theta<360

\theta=

With the given information, what is the reference angle for \theta?

Asemmisa {{asɛmmisaAhyɛnsode}}

Instead of over complicating things, let's image a circle with a radius of 1. (leave your answer as a simplified fraction \frac{5\pi}{6})

What is the Circumference of the full Circle?

What is the Circumference (Arc Length) of half a Circle?

What is the Circumference of a third of a circle?

Teacher Example: Convert \frac{5\pi}{6} to degrees

Asemmisa {{asɛmmisaAhyɛnsode}}

Student Example \frac{8\pi}{3}

Teacher Example: Convert 15 degrees to radians

Asemmisa {{asɛmmisaAhyɛnsode}}

Student example: Convert 275 \degree to radians.

null

Asemmisa {{asɛmmisaAhyɛnsode}}

Find an angle \theta that is co terminal to \frac{-2\pi}{7} where 0\leq \theta \leq 2\pi

Asemmisa {{asɛmmisaAhyɛnsode}}

What is the reference angle for \frac{4\pi}{3}

What is the reference angle for \frac{5\pi}{3}