Circle + square (second power, quadratic) - practice problems - page 4 of 14
Number of problems found: 262
- Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36 - Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Right-angled 64084
A right-angled triangle ABC with sides 5 cm and 12 cm is described by circle k. Calculate the length of circle k in centimeters. When calculating, use π = 3, 14 and round the result to tenths. - Cross-section 42981
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because... - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Larger perimeter
A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center. - Cross-section 4343
Premium quality olive oil is sold in a glass bottle with a square cross-section packed in a special cylinder tube. The square's perimeter that forms the bottle's cross-section is 28 cm. What is the radius of this tube? - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD. - Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm. - Surrounded 13601
The letter H is part of a square surrounded by a circle with a diameter of 42 cm. Is a fabric 1 meter long enough to make this letter? Neglect the thickness of the fabric. - Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r. - Must-have 7893
If we want to make a prism with a wooden base with a 5 cm side of a wooden bar, what is the bar's smallest diameter? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0 - Equilateral 81770
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32mm, and the side of the triangle, a=20.8mm. - Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm.
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