Matilda is planning a walk around the perimeter of wedge park, which is shaped like a circular wedge, as shown below. the walk around the park is 2.9 miles, and the park has an area of 0.25 square miles. if θ is less than 90 degrees, what is the value of the radius, r? (round your answer to two decimal places.) mi

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.