Question
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
Maria gets new tires for her car. The radius of each of her old tires is 0.30 meter, and the radius of each of her new tires is 11% larger than the radius of one of her old tires. What is the circumference of each new tire, to the nearest tenth of a meter?
The correct answer is: 2.1
HINT: Given that the new tire is 11% larger than the old one. From that find the radius of new tire and get the circumference.
Complete step by step solution:
Radius of old tire = 0.30 m
Radius of new tire = 11% larger than the old tire, that is + 0.3 = 0.333 m
Circumference of new tire with radius 0.333 m = 2 × π × r = 2 × π × .333 = 2.09 = 2.1 m
Hence circumference of circle with new tire = 2.1 meters
Related Questions to study
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)
An instrument shows the number of revolutions per minute made by each tire of a car. In each revolution, the car travels a distance equal to the circumference of one of its tires. The circumference of each tire is equal to 2πr, where r is the radius of the tire.
If the radius of each tire on Maria's car is 0.30 meter, what is the approximate speed of Maria's car, to the nearest kilometer per hour, when the instrument is showing 779 revolutions per minute?
( 1 kilometer = 1000 meters)
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¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.
Tara rode her bicycle along a straight road from her home to a restaurant and ate lunch. She then continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?
The connection length between the two points of the line segment is used to measure the distance between them. The length of the line segment, the shortest distance between a point and a line, is the separation between them.
¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.