The area of a circle is pi × radius^2.
Diameter / 2 = radius.
4 / 2 = 2
The radius is 2. Plug this value into the area formula.
A = pi(2)^2
Area = 12.57
Step-by-step explanation:
An = -2 * An-1
What this means is that you multiply -2 to the term to get the next term.
Since our 1st term (A1) is -2, we have:
A2 = -2 * A1 = -2 * (-2) = 4,
A3 = -2 * A2 = -2 * (4) = -8,
A4 = -2 * A3 = -2 * (-8) = 16,
A5 = -2 * A4 = -2 * (16) = -32,
A6 = -2 * A5 = -2 * (-32) = 64.
Hence our first 6 terms in the GP are
-2, 4, -8, 16, -32 and 64.
Answer:
Step-by-step explanation:
1,2,4,8,16,32,64
Because 42 is a multiple of 2
<h3>
Answer: 226 degrees</h3>
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Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
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Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
