Respuesta :
Answer:
the answer is 4) 10π/9 inches
Step-by-step explanation:
all answers have π on the nominator but i could not insert it for some reason
[tex]Question 7 options:\\1) \frac{40}{3}inches \\2) \frac{5}{3} inches\\3) \frac{100}{3} inches \\4) \frac{10}{9} inches[/tex]
A circle is a curve sketched out by a point moving in a plane. The length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given that the radius of the circle is 2 inches, while the angle made by the arc at the centre of the circle is 100°. Therefore, the length of the arc can be written as,
Length of the arc = 2 × π × R × (θ/360°)
= 2 × π × 2 inches × (100°/360°)
= 10π / 9 inches
= 3.49 inches
Hence, the length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.
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