Hi does anyone know who to answer q26, if do please show working out.
Thanks

239

Step-by-step explanation:

The area the goat can graze is a circular segment (a circle cut by a chord), where the radius is 10 m and the distance from the center to the chord is 6 m.  Here's a graph: desmos.com/calculator/qmstllv4dx

To find the area, we can split this into two shapes: a sector and an isosceles triangle. desmos.com/calculator/hvsor3mqps

To find the areas, we first must find the vertex angle of the triangle.  We can do that using cosine:

cos(θ/2) = 6/10

θ/2 = 53.13°

θ = 106.26°

The area of the triangle can be found with the SAS formula:

A = ½ ab sin C

A = ½ (6) (6) (sin 106.26°)

A = 17.28

The area of the sector is:

A = πr² (θ / 360°)

A = π (10)² ((360° − 106.26°) / 360°)

A = 221.43

The total area is 17.28 + 221.43 = 238.71.  Rounded to the nearest square meter, the goat can graze an area of 239 m².

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

no solution

step-by-step explanation:

there is not enough information in the problem to solve.