Question

OPQ is the sector of a circle having
centre at O and radius 15 cm. If
mZPOQ = 30°, find the area enclosed
by arc PQ and chord PQ.​

Answer 1

Answer:

2.68 sq. m

Step-by-step explanation:

Area of ΔOPQ=

2

1

r

2

sin(θ)=

2

1

⋅225⋅

2

1

=

4

225

Area of sector = π

360

o

θ

⋅r

2

=

12

225

π=

4

75

π

Area between the chord and arc = Area of sector - Area of triangle =

4

75

π−

4

225

=

4

75

(π−3)