A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
2 answers:
Answer:
Radius = 75 inches .
Step-by-step explanation:
Given : A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
To find : what is the length of the radius of the circle.
Solution : We have given
Central angle = 90°
Arc of length = 117.75 inches.
Arc length = .
Plug the values
Theta = 90 , pi = 3.14 , arc length = 117.75 .
117 .75 = .
117 .75 =
On multiplying both sides 4
117.75 * 4 = 2 * 3.14 * radius .
471 = 6 .28 * radius .
On dividing both sides by 6.28
radius = .
Radius = 75 inches .
Therefore, Radius = 75 inches .
You might be interested in
Answer:
Step-by-step explanation:
Area of polygon = area of square + area of triangle
Square:
Side = 12 cm
Area of square = side *side
= 12 * 12
= 144 sq.cm
Triangle:
base (b) = 12 cm
Height h = 19 cm
= 6 * 19
= 114 sq.cm
Area of polygon = 144 + 114 = 258 square cm
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517