Question

the diameter of a circle found by measurment 5.2cm with a maximum error 0.05cm . then maximum error in its area

Answer 1

Answer:

Maximum error in area=0.406 sq-cm

% maximum error=1.94%

Explanation:

To find the maximum error,when the diameter of a circle found by measurement 5.2cm with a maximum error 0.05cm.

step 1: Find the area of circle in both cases

Actual Diameter 5.15 cm

Actual radius 2.575 cm

Actual Area =π×2.575×2.575 sq-cm

=20.839 sq-cm

Step 2: Calculated area

Cal. Area = π×2.6×2.6sq-cm

=21.245 sq-cm

Maximum error in Calculating area=Calculated area- Actual area

= 21.245-20.839

= 0.406 sq-cm

% maximum error = (error/actual Area)×100

= (0.406/20.839)×100

=1.94%

Hope it helps you.