In δpqr, find the measure of ∡ p. triangle pqr where angle q is a right angle. qr measures 33 point 8. pr measures 57 point 6. measure of angle p is unknown.

ΔPQR is a right triangle
∡Q is a right angle.             ⇒⇒⇒ ∡Q = 90°
QR measures 33 point 8   ⇒⇒⇒ QR = 33.8 ⇒ leg of the triangle
PR measures 57 point 6   ⇒⇒⇒ PR = 57.6  ⇒ hypotenuse of the triangle

we can find ∡P using sin function
sin P = QR/PR = 33.8/57.6 = 0.5868
∴ ∡P = ≈ 35.93°

The answer is "a"radius = 12.7 unitsdiameter = radius × 212.7 units × 2 = 25.4 units