GMAT Quantitative Reasoning › Circles
The points and
form a line which passes through the center of circle Q. Both points are on circle Q.
To the nearest hundreth, what is the length of the radius of circle Q?
Two circles are constructed; one is inscribed inside a given regular hexagon, and the other is circumscribed about the same hexagon.
The circumscribed circle has circumference . Give the area of the inscribed circle.
The chord of a central angle of a circle with area
has what length?
The arc of a circle measures
and has length
. Give the length of the chord
.
Calculate the length of a chord in a circle with a radius of , given that the perpendicular distance from the center to the chord is
.
A given circle has an area of . What is the length of its diameter?
The circle in the above diagram has center . Give the area of the shaded sector.
Statement 1: Arc has length
.
Statement 2: Arc has length
.
What percentage of a circle is a sector if the angle of the sector is ?
The arc of a circle measures
. The chord of the arc,
, has length
. Give the length of the radius of the circle.
Two circles are constructed; one is inscribed inside a given regular hexagon, and the other is circumscribed about the same hexagon.
The inscribed circle has circumference . Give the area of the circumscribed circle.