Radius of a circle is 10 cm. Measure of an arc of the crcleis 54°. Find the area of the sector associated with the arc. (π= 3.14 )
Answers
Answered by
67
Hi ,
It is given that ,
Radius of the circle ( r ) = 10 cm
angle of the arc ( x° ) = 54°
π = 3.14
Area of the sector ( A ) = ( x/360 ) × πr²
A = ( 54/360 ) × 3.14 × 10²
A = 47.1 cm²
Therefore ,
area of the sector = A = 47.1 cm²
I hope this helps you.
: )
Answered by
14
Answer:
Area of arc = 47.1 cm²
Step-by-step explanation:
Radius of a circle is 10 cm. Measure of an arc of the crcleis 54°. Find the area of the sector associated with the arc. (π= 3.14 )
Area of a circle = π * Radius²
Radius = 10 cm
π = 3.14
=> Area of circle = (3.14) * 10² = 314 cm²
Total angle for circle = 360°
Measure of an arc of circle = 54°
Area of arc = ( Arc Angle/360°) * area of circle
=> Area of arc = (54°/360°) * 314
=> Area of arc = 47.1 cm²
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