Find the coordinates of the point on a circle with radius 4 at an angle of 2pi/3 {Please help!!}

The coordinates of the point on a circle with radius 4 at an angle of radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

Where and are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If and , the coordinates of the point are:

The coordinates of the point on a circle with radius 4 at an angle of radians are x = -2 and y = 3.464.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²