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Points P , Q and R are on a circle such that∠PQR = 40° and ∠QRP = 60° . Then the subtended angleby arc QR at the centre is
Arrange the following stages in a sequence, such that they result in an ogee curve between two parallel lines AB and CD, such that they are the tangents to the arc. m) Join the adjacent ends B and C with a straight line. n) Divide the line BC into four parts using the points P1, P2, P3. o) Draw lines such that they pass through the points P1, P2, P3, and are perpendicular to the line BC. p) Draw the perpendicular lines through the points B and C such that they cut the lines passing through P1, P3 respectively at E and F. q) With the center E draw an arc BP2 and with center F draw an arc P2C, thus arc BP2C is required ogee curve.
Consider a circle of radius 4 cm such that  A1, A2, A3, A4, A5, A6 are 6 points in the given order on the circle. The length of the arc AxAx + 1 is 1/3 times the length of the arc Ax + 1Ax + 2. If the circumference of the circle is 6 times the sum of the lengths of the 5 arcs then what is the angle subtended by the arc A2A3 at the center of the circle? 
An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by thearc of the second circle at its centre is
Points A and B are on a circle with centre O. Point C is on the major arc AB. If ∠OAC = 35° and ∠OBC = 45°, then what is the measure (in degrees) of the angle subtended by the minor arc AB at the centre?
The chord of a circle is √3 times its radius. The angle subtended by this chord at the minor arc is k times the angle subtended at the major arc. What is the value of k?
Given are the steps to draw a perpendicular to a line at a point within the line when the point is near the centre of line. Arrange the steps. Let AB be the line and P be the point in it i. Join F and P which is perpendicular to AB. ii. Now C as centre take the same radius and cut the arc at D and again D as centre with same radius cut the arc further at E. iii. With centre as P take any radius and draw an arc (more than a semicircle) cuts AB at C. iv. Now D, E as centre take radius (more than half of DE) draw arcs which cut at F.
prp qrp prr pqr qrp rpr qqr rpr qpr qrr qpr qpr If every third letter starting from the left is replaced by a number beginning with 1 then which letter/ number will be 16th from the right?
A, B and C are the three points on a circle such that ∠ABC = 35° and ∠BAC = 85°. What is the angle (in degrees) subtended by arc AB at the centre of the circle?
Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.