Home
Class 10
MATHS
In the given figure, is shown a sector O...

In the given figure, is shown a sector OAP of a circle with centre 0, containing ` /_ theta`. AB is perpendicular to the radius OA and meets OP produced at B. Prove that the perimeter of shaded region is `r[tan theta + sec theta + pi theta/180 - 1]`

Promotional Banner

Similar Questions

Explore conceptually related problems

Figure shows a sector of a circle,centre O, containing an angle theta. Prove that ( i) Perimeter of the shaded region is r(tan theta+sec theta+(pi theta)/(180)-1)( ii) Area of shaded region is (r^(2))/(2)(tan theta-pi(theta)/(180))

Figure shows a sector of a circle of radius r containing an angle theta^@ The area of the sector is A cm^2 and the perimeter is 50cm. Prove that theta = (360)/pi ((25)/r-1) and A=25r -r^2

Figure shows a sector of a circle with centre O and angle 'theta' . Prove that: (a) Perimeter of shaded region is r(tan theta+sec theta+ (pi theta)/(180^@)-1) units (b) area of the shaded region is r^2/2 (tan theta-(pi theta)/(180^@))sq. units

Figure shows a sector of a circle of radius r containing an angle theta^(@) The area of the sector is Acm^(2) and the perimeter is 50cm. Prove that theta=(360)/(pi)((25)/(r)-1) and A=25r-r^(2)

Prove that the area of a sector of circle with radius r and central angle theta^@ is 1/2 r^2 theta .

Fig. 15.17, shows a sector of a circle, centre O , containing an angle thetao , prove that: (FIGURE) (i) Perimeter of the shaded region is r\ (tantheta+sectheta+(pitheta)/(180)-1) (ii) Area of the shaded region is (r^2)/2\ (tantheta-(pitheta)/(180))

Fig. 15.17, shows a sector of a circle, centre O , containing an angle thetao , prove that: (FIGURE) (i) Perimeter of the shaded region is r\ (tantheta+sectheta+(pitheta)/(180)-1) (ii) Area of the shaded region is (r^2)/2\ (tantheta-(pitheta)/(180))

The locus of the point (a sec theta, b tan theta ) where 0 le theta lt 2pi is

Prove that the area of a segment of a circle with radius r and sector angle theta is r^2/2[(pi theta)/180^@-sin theta]