List of top Mathematics Questions on Circles asked in CUET (PG)

See the adjacent figure and find the value of ∠A in the semicircle

The area of the circular round shown as 92 \(\pi\) m² then value of r is:

A circle S passes through the point (0, 1) and is orthogonal to the circles (x-1)² + y² = 16 and x² + y² = 1. Then
A. Radius of S is 8
B. Radius of S is 7
C. Centre of S is (-7, 1)
D. Centre of S is (-8, 1)

Given below are two statements: One is lebelled as Assertion A and the other is labelled as Reason R.
Assertion A: If two circles interesect at two points, then the line joining their centres is prependicular to the common chord.
Reason R: The perpendicular bisectors of two chords of a circle intersect at its centre.
In the light of the above statements, choose the correct answer from the options given below:

A window is in the form of a rectangle surmounted by a semicircle. Perimeter of the window is 4.6m and height of the rectangular portion is 0.5m, then find the radius of the semicircular portion. (Take \(\pi=\frac{22}{7}\))