area of sector of a circle of radius 14 cm is 154 cm ^2 . find the length of corresponding arc of sector .
Answers
Answered by
10
Answer:
19.79 cm
Step-by-step explanation:
area of a circle is πr^2
πr^2/360= area of the circle
=πr^2 degree/360=154
degree(°)=90 °
length of the arc =2r Sin(degree/2)
So, the length of the arc is 19.79 cm
somilajmera:
the length of the minor arc is 22 and the corresponding is asked which will be 22 minus from 2*pie*14 which is 66 cm (round off)
no her ans is correct
doesn't the corresponding arc mean the arc length of the major sector and why did she used 2*r sin(degree/2) instead of 2*r*degree/360
tell me also baby
plz plz
Answered by
15
Hey there
Here ur answer
For answer follow the steps:
steps :
Given:
Area of sector of a circle of radius 14 cm is 154 cm²
Length of corresponding arc of sector =?
Solution:
Area of a circle = πr²
πr² 2/360 = area of the circle
πr² degree 360 = 154
Degree =90 °
Length of the arc =2r Sin (degree/2)
So, ∴ the length of the arc is 19.79 cm.
Hope this helps u
Be brainly
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