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ACT Math 3.3 Plane Geometry 487 Views


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Description:

ACT Math: Plane Geometry Drill 3, Problem 3. What is the measure of angle ABC?

Language:
English Language

Transcript

00:02

For a good time solve this shmoopy question...

00:04

What is the measure of angle ABC if line

00:08

AC measures 2pi, B is the center, and line BC measures 4?

00:14

Here are the potential answers...

00:18

Here's angle ABC. This arc AC

00:22

is 2pi and line BC right here

00:25

is 4. We also know that circle problems are gonna test us on

00:29

two basic formula usually. Area

00:32

which is pi r squared and circumference which is 2

00:36

pi r. We've been told that line BC is a radius

00:40

so let's plug it in to solve for circumferance

00:43

since line BC is 4 is for we know that 2

00:46

pi 4 is just 8pi. They give us

00:50

that this arc is 2 pi so what's 2

00:54

pi over 8pi? Yeah, it's 1/4 and

00:57

all the way around the clock is 360 degrees. 1/4 of the way around the clock

01:02

is from midnight to 3

01:04

recognize anything special about this little angle here?

01:07

Yeah. It's right!

01:10

This right. Yeah ninety degrees. It's E.

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