An arc is subtended by a central angle measuring pi/2 radians. What fraction of the circumference is this arc?
1 answer:
Answer:
The angle is 1/4 the circumference is the arc
Step-by-step explanation:
To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.
At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.
To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:
The central angle of arc / total angle at the centre of the circle
= π/2 ÷2π
=
Therefore the angle is 1/4 the circumference is the arc
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Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
