area of whole circle = Pi(20)^2
= 400Pi
Using a simple ratio:
A/400Pi = 120/360
A = 400Pi/3 cm^2
= ....
The arc of a circle of radius 20cm subtends an angle of 120degree at the center.use the value 3.142 for pie to calculate the area of the sector correct to the nearest cmsquared
9 answers
NO
A sector of a circle with radius 20cm has an area of 396cm2.calculate correct to 1decimal place the i.sectoral angle
Answer
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418.9 centimetres squared
To find the sectoral angle, we can use the formula:
Area of sector = (sectoral angle / 360) x pi x radius^2
Substituting the given values, we get:
396 = (sectoral angle / 360) x 3.142 x 20^2
Simplifying and solving for the sectoral angle:
sectoral angle = (396 x 360) / (3.142 x 20^2)
sectoral angle = 214.45 degrees
Therefore, the sectoral angle is 214.5 degrees (correct to 1 decimal place).
Area of sector = (sectoral angle / 360) x pi x radius^2
Substituting the given values, we get:
396 = (sectoral angle / 360) x 3.142 x 20^2
Simplifying and solving for the sectoral angle:
sectoral angle = (396 x 360) / (3.142 x 20^2)
sectoral angle = 214.45 degrees
Therefore, the sectoral angle is 214.5 degrees (correct to 1 decimal place).
2 answers