WEBVTT

1
00:00:00.000 --> 00:00:07.744
Here is the problem: Find the arc length and sector area for a 45° sector of a circle with radius 8.

2
00:00:08.194 --> 00:00:13.488
Find the radius, diameter, circumference and area of a circle from any one of them.

3
00:00:14.288 --> 00:00:15.054
Diameter.

4
00:00:15.504 --> 00:00:16.561
Circumference.

5
00:00:17.010 --> 00:00:17.579
Area.

6
00:00:18.029 --> 00:00:20.432
Arc length for 45°.

7
00:00:21.232 --> 00:00:24.367
Sector area for 45°.

8
00:00:25.167 --> 00:00:56.642
So the answer is r equals 8, d equals 16, C equals 16pi approximately 50.26548246, A equals 64pi approximately 201.0619298; for 45°: arc length 2pi approximately 6.283185307, sector area 8pi approximately 25.13274123.

9
00:00:57.092 --> 00:01:05.068
Every measurement of a circle follows from its radius. The circumference grows in proportion to the radius and the area in proportion to its square.

10
00:01:05.868 --> 00:01:12.509
C/d equals 3.141592654 equals pi.

11
00:01:12.959 --> 00:01:20.413
A equals C times r/2 equals 201.0619298.
