Answer:
28.26
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for
Area formula =
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26
Therefore the area of the circle is 28.26
Hope it helps :)
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2 answers:
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(a) <TOR=pi/3 radians
To determine <TOR we use the fact that in the right-angled triangle ORT we know two sides:
|OT|=radius=8cm and |OR|=radius/2=4cm
and can use the sine:
and since <TRO=pi/2, it must be that
(b) The arc length is approximately 7.255 cm
In order to calculate the arc length QT, we need to first determine the length |ST| and the angle <OST.
Towards determining angle <OST:
Next, draw a line connecting P and T. Realize that triangle PTS is right-angled with <PTS=pi/2. This follows from the Thales theorem. Since R is a midpoint between P and O, it follows that the triangles ORT and PRT are congruent. So the angles <PTR and <OTR are congruent. Knowing <PTS we can determine angle <OTS:
and so the angle <OST is
Towards determining |TS|:
Use cosine:
Finally, we can determine the arc length QT: