Question as shown in the image:

Question

asked Jul 27, 2023 60.6k views

1 Answer

Phoenixwizard · Answer 1 · 2023-07-31T21:03:57+0000

Answer:

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 )