Pythagorean theorem + circle - practice problems
Number of problems found: 151
- Two parallel chords
The two parallel chords of the circle have the same length of 6 cm and are 8 cm apart. Calculate the radius of the circle.
How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
- RT - inscribed circle
In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at the vertex C. Calculate the radius of the inscribed circle.
Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if distance the pavement from the center is 15 m.
- Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
- Circle annulus
There are 2 concentric circles in the figure. Chord of larger circle 10 cm long is tangent to the smaller circle. What are does annulus have?
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- A bridge
A bridge over a river has the shape of the arc with bases of the bridge at the river's edge. At the center of the river, the bridge is 10 feet above the water. At 27 feet from the edge of the river, the bridge is 9 feet above the water. How wide is the ri
- Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle.
- Find the
Find the length of the side of the square ABCD, which is described by a circle k with a radius of 10 cm.
Calculate the pendulum's length that is 2 cm lower in the lowest position than in the highest position. The length of the circular arc to be described when moving is 20cm.
- Tangent 3
In a circle with centre O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB IS THE DIAMETER of given circle. POINT A is joined with POINT E and POINT B is joined with POINT C. Find DC if BC IS 8cm.
It is given to a circle k(r=6 cm) and the points A, B such that / AB / = 8 cm lies on k. Calculate the distance of the center of circle S to the midpoint C of the segment AB.
- The mast
A 40 m high mast is secured in half by eight ropes of 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
- Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
At a regular 30-gon the radius of the inscribed circle is 15cm. Find the "a" side size, circle radius "R", circumference, and content area.
Calculate the length of the side, circumference, and area of a regular pentagon, which is inscribed in a circle with a radius r = 6 cm.
- Regular n-gon
Which regular polygon have a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?
Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - practice problems. Circle practice problems.