Question

Help me with this question pliz

also show that the length of the minor arc AB equals to 5.84cm correct to 3 significant figures​

Answer 1

1337.6 cm squared

Explanation:

Using formula:
`A=(x/2)*r^(2)`

`A=(41.8/2)*8^(2)`

Answer 2

a)
`\boxed{Area of Sector AOB = 23.3 units^2}`

b)
`\boxed{Arc Length = 5.84 units}`

Explanation:

a) Area of Sector AOB =
`(1)/(2) r^2 \theta`

Where r = 8, θ = 41.8 degrees

Firstly, Angle in Radians

=> 41.8 degrees = 0.73 radians

So,

Area of Sector AOB =
`(1)/(2) (8)^2 (0.73)`

Area of Sector AOB =
`(1)/(2) (64)(0.73)`

Area of Sector AOB = 23.3 units²

b) Finding the length of minor arc AB

So,

Arc Length = Radius ×
`\theta`

Where Radius = 8,
`\theta` = 0.73 radians

Arc Length AB = 8 * 0.73

Arc Length = 5.84 units