Answer:
Upper bound 3.116
Lower bound 3.125
Step-by-step explanation:
The random circle Hellen drew has a circumference of C=405mm to 3 significant figures and she gets a diameter, d, of 130 mm correct to 2 significant figures.
We need to use the formula
[tex]\pi = \frac{C}{d} [/tex]
We substitute the values to get:
[tex]\pi = \frac{405}{130} [/tex]
[tex]\pi = 3.11538461538[/tex]
Therefore Hellen's value for π is 3.115 to three decimal place.
To find the lower and upper bound, we half the specified degree of accuracy.
[tex] \frac{0.001}{2} = 0.0005[/tex]
We then add it to the rounded value to get the upper bound to be:
3.115+0.0005=3.1155
The lower bound is 3.115-0.0005=3.1145
