Given:
In the circle, and
.
To find:
The following measures:
(a)
(b)
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[Opposite angles of a cyclic quadrilateral]
Now,
[Opposite angles of a cyclic quadrilateral]
Therefore, and
.
Answer:
Percent of error of Logan's Estimate is 12.5%
Step-by-step explanation:
Given:
Actual Volume of sample =48 mL
Estimated Volume of sample = 42 mL
We need to find the percent errors of Logan estimate.
To calculate percent of error below are the steps.
Step 1: Subtract the Actual value from the estimated value.
Step 2: Take the absolute value of step 1
Step 3: Divide that answer by the Actual value.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Now Substituting the values we get;
Step 1: To Subtract Actual Volume with Estimated Volume
Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL
Step 2: Find Absolute value we get;
Step 3 : Divide that answer by the Actual volume.
Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
Hence Percent of error of Logan's Estimate is 12.5%