Step-by-Step Solutions for Circle Geometry Problems

Below are 2 concentric circles, one with a radius of 5 and the other with a radius of 2. What is the area of the shaded region? Round to 2 decimal places

krsteva698 2022-03-02

Solve for x, y, and radius of the arc in meters using properties of triangles, circles, and arcs.

Laura Jenkins 2022-03-01

Find the two points of intersection of the circles:
$x^{2} + y^{2} + 5 x + y - 26 = 0$
$x^{2} + y^{2} + 2 x - y - 15 = 0$

Havlishkq 2022-03-01

Find the area of the shaded region.

embeucadaoo8 2022-03-01

The ratio of the areas of two circles is equal to the ratio of their radii.
True or false?

Richie Patterson 2022-03-01

$⊙ Q$ and $⊙ R$ are congruent circles that increasect at C and D. $\overset{―}{C D}$ is called the common chors of the circles.
a) What king of quadrilateral is QDRC? Why?
b) $\overset{―}{C D}$ must be the perpendicular bisector of $\overset{―}{Q R}$ . Why?
c) If $Q C = 17$ and $Q R = 30$ , find CD

Umaiza Hutton 2022-03-01

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. What are the possible radii for the circles

ahiahysel 2022-03-01

In the given figure, X and Y are centers of two intersecting equal circle. If $X Y = A B$ , prove that AXBY is a square.

Guy Rollins 2022-03-01

Find the perpendicular orbits of the family of circles whose center is on the line $y = x$ and passes through its origin.

Anniyah Povey 2022-03-01

Two circles intersect at points 1 and 2. The coordinates of the centers of these circles are (100,100) and (200, 250) m, while the radii are 100m and 120m, respectively. Calculate the coordinates of the points of intersection 1 and 2.

Rupert Albert 2022-02-28

Find the area for circles 1-4 and circumference for circles 5-8.

sweetrainyday8s2 2022-02-28

Find the length of the indicated arc for the following circles and round your answers to the nearest 10th.
1)
2) 3)

Arnold Herring 2022-02-28

A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, is made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
a) Determine the total length of the circular portions in terms of pi. Show the work that leads to your answer.
b) Determine the total length of wire needed, both circular and square portions, to the nearest tenth of an inch.
c) Determine the total weight of the ornament to the nearest gram.

Theresa Chung 2022-02-28

A swimming pool is constructed in the shape of two partially overlapping identical circles. Each of the circles has a radius of 20m and each circle passes through the center of the other. Find the area of the swimming pool in square meters. Round off answer to two decimal places, do not include units.

Odompombagnom6ng 2022-02-28

Find the perimeter for the following figures. All arcs shown are the arcs of circles. Either leave in terms of $π$ by entering answers with the word pi, or use 3.14 for pi and round your answer to the nearest 10th.

Havlishkq 2022-02-28

a. Are all circles similar?
b. If two circles have radii 9 and 12, what is the ratio of the circumferences? Of the areas?

Keri Molloy 2022-02-28

Two circles have equations of
$x^{2} + y_{2} - 4 x - 4 y + 4 = 0$
$x^{2} + y^{2} - 4 x + 8 y + 4 = 0$
Find the distance between the centers of the two circles.

embeucadaoo8 2022-02-28

The radii of two circles are 8 cm and 6 cm. Find the radius of the circle having area equal to the sum of the areas of the two circles

Fearne Castro 2022-02-28

Two overlapping circles O and Q have the common chord AB (vertical line between the overlapping circles). If AB is 6 and circle O has a radius of length 4 (horizontal line going through the overlapping circles and touching the side of the circle) and circle Q has a radius of length 6, how long is OQ.

Kelsea Ferry 2022-02-28

A swimming po is shaped from two intersecting circles 9m in radius with their centers 9m apart.
a) What is the area common to the two circles, in square meter?
b) what is the total water surface area, in square meter?
c) what is the perimeter of the pool in meters?

High school students will encounter circle geometry problems, which will be essential later for design and engineering problems. The most important is to learn how to connect circle geometry equations with certain rules and graphs presented. It is what makes Geometry circle problems so challenging as they take logic and visual thinking. As a rule, geometry circle problems with solutions that are posted below will help you find the answers to most geometry problems. See several circle geometry problems and solutions to understand how things work and compare various circle geometry questions to your original instructions.

Mastering Circle Geometry Equations