Question

Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of Pi
using the formula pi=C/D
Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.​

Answer 1

Given:

Helen draws a random circle, then measures its diameter and circumference.

She gets a circumference, C, of 405 mm correct to 3 significant figures.

She gets a diameter, d, of 130 mm correct to 2 significant figures.

To find:

Helen wants to find the value of Pi using the formula pi=C/D

Calculate the lower bound and upper bound for Helen's value of it.

Solution:

From given, we have,

The circumference of the circle = C = 405 mm

The diameter of the circle = d = 130 mm

Pi = C/D

= 405 mm / 130 mm

= 405 / 130

= 3.115

3.115, measured to the nearest 0.1.

The degree of accuracy is nearest 0.1.

0.1/2 = 0.05

Upper bound = 3.115 + 0.05 = 3.165

Lower bound = 3.115 - 0.05 = 3.065

Answer 2

Answer:

lower bound is 2.996

Step-by-step explanation:

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