To solve this problem, we need to use the formula for the area of a sector of a circle, which is given by:

Area = 0.5 * r^2 * θ

where r is the radius (or in this case, the length of the pendulum string) and θ is the angle in radians.

However, we don't have the angle in radians, we have it in degrees. We can convert it to radians using the formula:

θ = angle in degrees * π / 180

So, θ = 74 * π / 180 = 1.291 radians (approximately)

We also don't have the radius, but we can find it using the formula for the length of an arc of a circle, which is:

Length of arc = r * θ

So, r = Length of arc / θ = 46.8 cm / 1.291 radians = 36.24 cm (approximately)

Now we can find the area of the sector:

Area = 0.5 * (36.24 cm)^2 * 1.291 radians = 843.4 cm^2 (approximately)

So, the area of the sector traced by the pendulum is approximately 843.4 cm^2.

Question

To solve this problem, we need to use the formula for the area of a sector of a circle, which is given by:

Area = 0.5 * r^2 * θ

where r is the radius (or in this case, the length of the pendulum string) and θ is the angle in radians.

However, we don't have the angle in radians, we have it in degrees. We can convert it to radians using the formula:

θ = angle in degrees * π / 180

So, θ = 74 * π / 180 = 1.291 radians (approximately)

We also don't have the radius, but we can find it using the formula for the length of an arc of a circle, which is:

Length of arc = r * θ

So, r = Length of arc / θ = 46.8 cm / 1.291 radians = 36.24 cm (approximately)

Now we can find the area of the sector:

Area = 0.5 * (36.24 cm)^2 * 1.291 radians = 843.4 cm^2 (approximately)

So, the area of the sector traced by the pendulum is approximately 843.4 cm^2.

Knowee AI · Accepted Answer