a wire of length 18cm is bend in the format a sector of length of arc 10cm. find the angle in radian and degree. subtended by the arc at the center of the circle.also find the area of the sector.is calculations
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The value of in radian = 2.5 radian
The value of in degree = 143.32 °
The area of the sector A = 20
Step-by-step explanation:
From the figure
Length of the arc BC = 10 cm
AB = BC = 4 cm
Angle subtended by the arc on the center =
Length of the arc is given by L = × r ------- (1)
⇒ 10 = × 4
⇒ = 2.5 radian
This is the value of in radian.
The value of angle in degree is 2.5 ×
⇒ = 143.32 °
This is the value of in degree.
Area of the sector
Where is in degree.
Put all the values in above formula we get
A = 20
This is the area of the sector.
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