What is the perimeter of the given figure? A.19 pie symbol inches B. 24+ 5 pie symbol inches C.29 pie symbol inches D.14 + 5 pie Symbol inches

Step-by-step explanation:

The shape is made up of a semicircle and a right angled triangle.

Perimeter of the shape = perimeter of a semicircle + perimeter of the right angle triangle.

Since perimeter of a circle = 2πr

Perimeter of a semicircle = 2πr/2 = πr wherr r is the radius

r = 10in/2 = 5in

Perimeter of the semicircle = 5π in

Perimeter of a triangle = s1+s2+s3 where s1, s2 and s3 are the sides of the triangle.

We only have 2 sdies of the triangle, hence we need to get the third side using pythagoras theorem.

let s1 = 10in, s2 = 6in

10² = 6²+s3²

s3 = √10²-6²

s3 = √100-36

s3 = √64

s3 = 8in

Perimeter of the triangle = 10in+6in+8in = 24in

Perimeter of the shape = (24in + 5π in) - 10in (10 in was subtracted since it is common to both shapes)

Perimeter of the shape = (14+5π )inches

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