IMO- Mathematics Olympiad Class 10: Questions 818 - 819 of 908

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Question number: 818

» Area, Surface Area & Volume

MCQ▾

Question

The perimeter of a sector of a circle of radius 2.5cm is 15.4cm. The area of the sector is________.

Choices

Choice (4) Response

a.

15cm2

b.

13cm2

c.

12cm2

d.

11cm2

Question number: 819

» Triangle, Circle & Constructions

MCQ▾

Question

In the given figure, PNQR is cyclic quadrilateral and MO is tangent to the circle with center ‘S’. PQ is diameter, MNP=60°, PQR=40°. the SNQ= ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon P, N, Q, RCircle c Circle c: Circle through B_1 with center SAngle? Angle? : Angle between M, N, PAngle? Angle? : Angle between M, N, PAngle? Angle? : Angle between M, N, PAngle? Angle? : Angle between P, Q, RAngle? Angle? : Angle between P, Q, RAngle? Angle? : Angle between P, Q, RSegment c_1 Segment c_1: Segment [P, N] of Quadrilateral poly1Segment d Segment d: Segment [N, Q] of Quadrilateral poly1Segment e Segment e: Segment [Q, R] of Quadrilateral poly1Segment f Segment f: Segment [R, P] of Quadrilateral poly1Segment g Segment g: Segment [P, Q] Vector u Vector u: Vector [N, O] Vector u Vector u: Vector [N, O] Vector v Vector v: Vector [N, M] Vector v Vector v: Vector [N, M] Point S S = (7.76, -0.34) Point S S = (7.76, -0.34) Point S S = (7.76, -0.34) Point P Point P: Point on cPoint P Point P: Point on cPoint P Point P: Point on cPoint N Point N: Point on cPoint N Point N: Point on cPoint N Point N: Point on cPoint Q Point Q: Point on cPoint Q Point Q: Point on cPoint Q Point Q: Point on cPoint R Point R: Point on cPoint R Point R: Point on cPoint R Point R: Point on cPoint O O = (10.78, -1.08) Point O O = (10.78, -1.08) Point O O = (10.78, -1.08) Point M M = (7.14, 2.7) Point M M = (7.14, 2.7) Point M M = (7.14, 2.7)

PNQR Is Cyclic Quadrilateral

PNQR is cyclic quadrilateral and MO is tangent to the circle with center ‘S’. PQ is diameter, ∠MNP = 60°, ∠PQR = 40°

Choices

Choice (4) Response

a.

60°

b.

100°

c.

20°

d.

40°

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