Question

Чему равна площадь кругового сектора, ограниченного дугой 90 градусов , если радиус круга равен 4?

Answer 1

Ответ:

S = 12,56

Объяснение:

Answer 2

Calculating the Area of a Circular Sector

To calculate the area of a circular sector, we can use the formula:

A = (θ/360) * π * r^2

Where: - A = area of the sector - θ = angle of the sector in degrees - π (pi) is approximately 3.14159 - r = radius of the circle

Given that the radius of the circle is 4 and the angle of the sector is 90 degrees, we can calculate the area using the formula.

Calculation

Substitute the given values into the formula:

A = (90/360) * π * 4^2

Simplify the expression:

A = (1/4) * π * 16

A = 4π square units

So, the area of the circular sector, bounded by a 90-degree arc with a radius of 4, is 4π square units.