Answer:
19.5 in²
Step-by-step explanation:
A applicable formula for the area of the smaller triangle is ...
A = (1/2)ab·sin(C) . . . . where a, b are the given sides and C is the angle between them.
The side lengths are 3 in and 13 in, so the area is ...
A = (1/2)(3 in)(13 in)sin(C) = (19.5 in²)sin(C)
The sine function is a maximum at C=90°, at which angle it has the value 1. So, the maximum area is that of a right triangle of sides lengths 3 and 13 inches.
The maximum area is 19.5 in².
Answer:
2308.4mm^3
Step-by-step explanation:
V=(4/3)πr^3
V = (4/3)π8.2^3
V= (4/3)π x 551.368
V = 2308.39
(2308.4 if rounded to tenths)
Answer:
x = 110°
Step-by-step explanation:
I think that CHORDS AC & BD are intersecting at centre of the circle. If it is so then,
Since, measure of central angle of a circle is equal to the measure of its corresponding arc or vice versa.
The formula for area of a circle is r² x π.
Since we know the diameter, we can firstly divide by 2 to find our radius.
4/2 = 2
Now that we know the radius, we can substitute it in and square the value.
(2)² x π
(4) x π
Since we're finding the area in terms of pi, we won't multiply by pi, giving us the answer of 4π.
Therefore, the area of the circle is equal to 4π.
<em>Hope this helped! :)</em>
