Question

Question as shown in the image:​

Answer 1

arc ABC ≈ 18.2 cm

Explanation:

the length of the arc ABC is calculated as

arc = circumference of circle × fraction of circle

the angle around the centre O is 360° , then

angle subtended by arc = 360° - 100° = 260°

then

arc = 2πr ×
`(260)/(360)` ( t is the radius = 4 )

= 2π × 4 ×
`(26)/(36)`

= 8π ×
`(13)/(18)`

=
`(8\pi (13))/(18)`

≈ 18.2 cm (to 3 significant figures )