The fourth term of an AP is 13 and the second term is 3 find the common difference
1 answer:
You might be interested in
Recall that
There are three cases to consider:
(1) When
, we have 
and 
, so
(2) When
and 
, we get 
and , so
(3) When
, we have and 
, so
So
There are three cases to consider:
(1) When
(2) When
(3) When
So
Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
Thus,
The area of the shaded sector is 69.81 sq. meters.