Mathematics
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 n using the formula 1 =- 응 Calculate the lower bound and upper bound for Helen's value of it. Give your answers correct to 3 decimal places.
Posted 2 months agoAnswers (2)
Answer: Lower Bound = 2.996 Upper bound = 3.244 Step-by-step explanation:
Final answer: The lower and upper bounds for Helen's value of π, calculated using the given bounds for the diameter and circumference of her circle, are 3.100 and 3.132 respectively. Explanation: Helen can calculate the bounds for π by substituting the bounds for the diameter and the circumference into the formula C = πd. Since her measurements of diameter and circumference are each given to a certain number of significant figures, the bounds for these measurements can be found as follows: the lower bound of a measurement is halfway between it and the next lower number rounded to the same number of significant figures, while the upper bound is halfway between the measurement and the next higher number to the same number of significant figures. So the lower bound for the diameter (d) is 129.5 mm and the upper bound is 130.5 mm. For the circumference (C), the lower bound is 404.5 mm and the upper bound is 405.5 mm. Putting these values into the formula gives us two possible values for π: Lower bound = 404.5 mm / 130.5 mm = 3.100 Upper bound = 405.5 mm / 129.5 mm = 3.132 So the lower and upper bounds for Helen's value of π are 3.100 and 3.132 respectively, to 3 decimal places. Learn more about Calculating bounds here: brainly.com/question/32443065 #SPJ2