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:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract <em>y</em> on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
The answer to the question
Answer:
16 km due west
Step-by-step explanation:
The bearing of the school p from school q is 16 km due west.
To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.
Since p is directly west of q, then it implies that q must be directly east of p.
We now know the direction.
Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.
Hence, the bearing of q from p is 16 km due west.
