Find the area of a sector of a circle whose diameter is 6 cm and whose central angle is 300 degrees. Use pi = 3.14.
Answers
Answer:
23.55 cm
Step-by-step explanation:
The formula for the area sector is (angle/360) * pi * radius^2. In this question, central angle equals 300 degrees and the radius is 3 cm(because 6 divided by 2 equals 3). By plugging in, you get the area of the sector to be 23.55 cm.
Given : diameter of circle is 6 cm and Sector angle is 300 degrees
To find : the area of a sector of a circle
Solution:
Diameter OF Circle = 6 cm
Radius = Diameter/2
=> Radius of Circle = 6/2 = 3 cm
Area of Sector of Circle = ( Sector angle / 360) * π r²
π = 3.14
r = radius = 3 cm
Sector angle = 300
=> Area of Sector of Circle = (300/360) (3.14) (3)²
= (5/6) (3.14) 9
=> 15.7 * 3/2
= 47.1/2
= 23.55
area of a sector of a circle = 23.55 cm²
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