Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The perimeter of a quarter circle is 7.147.14 inches. What is the quarter circle's radius?\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ inches

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Circles: word problemsright chevron icon

Full solution

Q. The perimeter of a quarter circle is 7.147.14 inches. What is the quarter circle's radius?\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newline____ inches
  1. Understand the problem: Step 11: Understand the problem.\newlineWe need to find the radius of a quarter circle given its perimeter is 7.147.14 inches.
  2. Use the formula: Step 22: Use the formula for the perimeter of a quarter circle.\newlineThe perimeter of a quarter circle includes one-quarter of the circle's circumference plus the two radii. The formula is: Perimeter = (π⋅radius)/2+2⋅radius(\pi \cdot \text{radius}) / 2 + 2 \cdot \text{radius}.
  3. Set up the equation: Step 33: Set up the equation.\newline7.14=3.14×radius2+2×radius7.14 = \frac{3.14 \times \text{radius}}{2} + 2 \times \text{radius}.
  4. Simplify and solve: Step 44: Simplify and solve for radius.\newlineCombine like terms: 7.14=(1.57×radius)+2×radius7.14 = (1.57 \times \text{radius}) + 2 \times \text{radius},\newline7.14=3.57×radius7.14 = 3.57 \times \text{radius},\newlineradius=7.143.57\text{radius} = \frac{7.14}{3.57},\newlineradius=2.00\text{radius} = 2.00 inches.

More problems from Circles: word problems

Question
Skyler climbs a watchtower to guard against forest fires.\newlineThe function R(h)=13hR(h)=\sqrt{13h} gives the distance, in kilometers, that Skyler can see when their eyes are hh meters above the ground.\newlineThe function A(d)=πd2A(d)=\pi d^{2} gives the area, in square kilometers, that Skyler can guard when they can see a distance of dd kilometers.\newlineWhich expression models the area Skyler can guard when their eyes are hh meters above the ground?\newlineChoose 11 answer:\newline(A) 13πh13\pi h\newline(B) 13πh213\pi h^{2}\newline(C) 13πh2\sqrt{13\pi h^{2}}\newline(D) 169πh2169\pi h^{2}
Get tutor helpright-arrow

Posted 8 months ago

Question
After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70%70\%. Before the outbreak, the average wait time at the hospital was mm minutes.\newline Which of the following expressions could represent the average wait time at the hospital after the outbreak?\newline Choose 22 answers:\newline A 0.7m0.7m\newline B 170100m\frac{170}{100}m\newline C m+70m+70\newline D m+0.7m+0.7\newline E 1.7m1.7m
Get tutor helpright-arrow

Posted 7 months ago

Question
The radius of a semicircle is 33 yards. What is the semicircle's area?\newlineUse π≈3.14\pi \approx 3.14 and round your answer to the nearest hundredth.\newlinesquare yards
Get tutor helpright-arrow

Posted 8 months ago

Question
\newlineA man has bent a circular wire of radius 49cm49\text{cm} to form a square. Find the sides of a square.\newlineA)100cmA)100\text{cm}\newlineB)50cmB)50\text{cm}\newlineC)98cmC)98\text{cm}
Get tutor helpright-arrow

Posted 8 months ago

Question
A quarter is worth $0.25\$0.25 and a half dollar is worth $0.50\$0.50.\newlinea. A quarter has a diameter of 1516\frac{15}{16} inch and a height of 116\frac{1}{16} inch. Find the surface area of a quarter. Round your answer to the nearest hundredth.\newlineb. A half dollar has a diameter of 98\frac{9}{8} inches and a height of 332\frac{3}{32} inch. Find the surface area of a half dollar. Round your answer to the nearest hundredth.
Get tutor helpright-arrow

Posted 8 months ago

Question
The hypotenuse of a right triangle measures 17 cm 17 \mathrm{~cm} and one of its legs measures 8 cm 8 \mathrm{~cm} . Find the measure of the other leg. If necessary, round to the nearest tenth.\newlineAnswer: □\square cm \mathrm{cm}
Get tutor helpright-arrow

Posted 8 months ago

Question
One of the legs of a right triangle measures 15 cm 15 \mathrm{~cm} and its hypotenuse measures 17 cm 17 \mathrm{~cm} . Find the measure of the other leg. If necessary, round to the nearest tenth.\newlineAnswer: □\square cm \mathrm{cm}
Get tutor helpright-arrow

Posted 9 months ago

Question
One of the legs of a right triangle measures 8 cm 8 \mathrm{~cm} and the other leg measures 15 cm 15 \mathrm{~cm} . Find the measure of the hypotenuse. If necessary, round to the nearest tenth.\newlineAnswer: □\square cm \mathrm{cm}
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the volume of a right circular cone that has a height of 7.4 cm 7.4 \mathrm{~cm} and a base with a radius of 8.1 cm 8.1 \mathrm{~cm} . Round your answer to the nearest tenth of a cubic centimeter.\newlineAnswer: cm3 \mathrm{cm}^{3}
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the volume of a right circular cone that has a height of 13.3ft 13.3 \mathrm{ft} and a base with a diameter of 9.4ft 9.4 \mathrm{ft} . Round your answer to the nearest tenth of a cubic foot.\newlineAnswer: ft3 \mathrm{ft}^{3}
Get tutor helpright-arrow

Posted 9 months ago

View all (56)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant