Question

2) Find area of sector and length of arc with angle substands by arc is 60° with radius is 45cm.
3) Find area of quadrilateral.if the distance between the parallel sides of the trepezium is 9cm and parallel sides are 5cm,4cm.
please help me to solve this both problems​

Answer 1

Answer:

2) Find area of sector and length of arc with angle substands by arc is 60° with radius is 45cm.

Answer : Here, length of arc, l=16 cm and r=9 cm

Length of arc, l=

360

o

θ

×2πr

16=

360

o

θ

×2π×9

∴θ=

2π×9

16×360

o

=

π

320

Now, area of sector, A =

360

o

θ

×πr

2

θ

∴A=

360

o

320/π

×π×9×9=72

Hence, the area of sectors is 72cm

2

3) Find area of quadrilateral.if the distance between the parallel sides of the trepezium is 9cm and parallel sides are 5cm,4cm.

Answer : Given: Length of parallel sides are 9cm and 5cm

Height =8cm

Area of trapezium=

2

1

× Height ×(Sum of parallel sides)

=

2

1

×8cm×(9+5)cm

=

2

8+14

cm

2

=56cm

2

.